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Modular representation theory and commutative Banach algebras. (English) Zbl 07913524

Memoirs of the American Mathematical Society 1488. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7029-6/pbk; 978-1-4704-7854-4/ebook). v, 118 p. (2024).

MSC: 20-02 20C20 46J99 16T05

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Epitropov, Yordan; Gradeva, Ivanka; Mollov, Todor Zh.

Unit groups of commutative modular group algebras. (English) Zbl 07910540

J. Algebra Appl. 23, No. 9, Article ID 2450146, 34 p. (2024).

MSC: 20C07 20C05 16S34 16U60 20K10 20K20 20K21 20K25

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Duque-Rosero, Juanita; Pries, Rachel

The classifying element for quotients of Fermat curves. (English) Zbl 07909492

Commun. Algebra 52, No. 10, 4327-4341 (2024).

MSC: 11D41 11G32 14F35 14H30 17B70 11F06 11F67 11G30 13A50 14F20

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Chen, Haixian

The Noether numbers for cyclic groups of \(pq\) order in the modular case. (English) Zbl 07892697

J. Math. Res. Appl. 44, No. 2, 161-169 (2024).

MSC: 13A50

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Ochiai, Tadashi

Iwasawa theory and its perspective. Volume 1. (English) Zbl 1536.11002

Mathematical Surveys and Monographs 272. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5672-6/pbk; 978-1-4704-7325-9/ebook). ix, 154 p. (2023).

Reviewer: Andrzej Dąbrowski (Szczecin)

MSC: 11-02 11R23 11R42 11R34 13C05

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Peyerimhoff, Norbert; Roth, Marc; Schmitt, Johannes; Stix, Jakob; Vdovina, Alina; Wellnitz, Philip

Parameterized counting and Cayley graph expanders. (English) Zbl 07690451

SIAM J. Discrete Math. 37, No. 2, 405-486 (2023).

MSC: 68Q27 68Q17 68R10 05E40 05C48 11F06 11R52 20F65

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Ou, Ke

Modular invariants for some finite modular pseudo-reflection groups. (English) Zbl 1537.20091

J. Pure Appl. Algebra 227, No. 8, Article ID 107352, 23 p. (2023).

MSC: 20F55 13A50 17B50

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Kessar, Radha; Malle, Gunter; Semeraro, Jason

The principal block of a \(\mathbb{Z}_{\ell}\)-spets and Yokonuma type algebras. (English) Zbl 1511.20140

Algebra Number Theory 17, No. 2, 397-433 (2023).

MSC: 20F55 20C20 16G30 20C08 20G40 20D20 55R35

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Wehrung, Friedrich

From noncommutative diagrams to anti-elementary classes. (English) Zbl 1474.18004

J. Math. Log. 21, No. 2, Article ID 2150011, 56 p. (2021).

Reviewer: Michel Hébert (Al-Qāhira)

MSC: 18A30 03C52 03C75 18A35 03E05 06A07 06A12 06C20 06D22 06D35 06F20 08C05 08A30 16E20 16E50

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Eisele, Florian

The Picard group of an order and Külshammer reduction. (English) Zbl 1489.20006

Algebr. Represent. Theory 24, No. 2, 505-518 (2021).

Reviewer: Burkhard Külshammer (Jena)

MSC: 20C20 20C11 16G30

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Bartholdi, Laurent; Härer, Henrika; Schick, Thomas

Right angled Artin groups and partial commutation, old and new. (English) Zbl 1489.20018

Enseign. Math. (2) 66, No. 1-2, 33-61 (2020).

Reviewer: Andrea Caranti (Trento)

MSC: 20F36 20F65 20F12 20F14 20F40 17B50 16S37

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Blum-Smith, Ben; Marques, Sophie

When are permutation invariants Cohen-Macaulay over all fields? (English) Zbl 1460.13010

Algebra Number Theory 12, No. 7, 1787-1821 (2018).

MSC: 13A50 05E40

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Kohls, Martin; Sezer, Müfit

On Cohen-Macaulayness and depth of ideals in invariant rings. (English) Zbl 1333.13007

J. Pure Appl. Algebra 220, No. 5, 2029-2037 (2016).

Reviewer: Jebrel M. Habeb (Irbid)

MSC: 13A50 14L24

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Fleischmann, Peter; Woodcock, Chris

Modular group actions on algebras and \(p\)-local Galois extensions for finite groups. (English) Zbl 1368.13005

J. Algebra 442, 316-353 (2015).

MSC: 13A50 13B05 20J99 20C20 20D15

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Yang, Jae-Hyun

Geometry and arithmetic on the Siegel-Jacobi space. (English) Zbl 1317.32042

Ochiai, Takushiro (ed.) et al., Geometry and analysis on manifolds. In memory of Professor Shoshichi Kobayashi. Cham: Birkhäuser/Springer (ISBN 978-3-319-11522-1/hbk; 978-3-319-11523-8/ebook). Progress in Mathematics 308, 275-325 (2015).

MSC: 32M10 32F45 32W50 11F30 11F55 13A50 15A72

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Backlinks: MO

Benson, David J.; Iyengar, Srikanth B.; Krause, Henning

Stratifying modular representations of finite groups. (English) Zbl 1261.20057

Ann. Math. (2) 174, No. 3, 1643-1684 (2011).

Reviewer: Alexander Zimmermann (Amiens)

MSC: 20J06 20C20 16E35 20C05 18E30 13D09

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Fleischmann, Peter; Woodcock, Chris

Non-linear group actions with polynomial invariant rings and a structure theorem for modular Galois extensions. (English) Zbl 1231.13008

Proc. Lond. Math. Soc. (3) 103, No. 5, 826-846 (2011).

Reviewer: Ming-Chang Kang (Taipei)

MSC: 13A50 13B05 20C20 13B40 20C05

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Goldstein, Catherine

Charles Hermite’s stroll through the Galois fields. (Les promenades galoisiennes de Charles Hermite.) (English. French summary) Zbl 1258.01011

Rev. Hist. Math. 17, No. 2, 211-270 (2011).

Reviewer: Davide Bondoni (Anfo)

MSC: 01A55 01A85 11-03 11A55 11F03 12-03 13-03 20-03

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Campbell, H. E. A. Eddy; Wehlau, David L.

Modular invariant theory. (English) Zbl 1216.14001

Encyclopaedia of Mathematical Sciences 139. Invariant Theory and Algebraic Transformation Groups 8 (ISBN 978-3-642-17403-2/hbk; 978-3-642-17404-9/ebook). xiii, 233 p. (2011).

Reviewer: Peter Schenzel (Halle)

MSC: 14-02 13-02 13A50 14L24 14L30

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Broer, Abraham; Chuai, Jianjun

Modules of covariants in modular invariant theory. (English) Zbl 1195.13003

Proc. Lond. Math. Soc. (3) 100, No. 3, 705-735 (2010).

Reviewer: Artem Lopatin (Omsk)

MSC: 13A50 14L30

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Reilly, Norman R.

Introduction to applied algebraic systems. (English) Zbl 1186.00003

Oxford: Oxford University Press (ISBN 978-0-19-536787-4/hbk). xiii, 509 p. (2010).

Reviewer: Juan Tena Ayuso (Valladolid)

MSC: 00A05 11-01 12-01 13-01 20-01 94A60 08-01

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Erdmann, Karin (ed.); Krause, Henning (ed.)

Mini-workshop: Support varieties. Abstracts from the mini-workshop held February 15th – February 21st, 2009. (English) Zbl 1177.20003

Oberwolfach Rep. 6, No. 1, 549-592 (2009).

MSC: 20-06 16-06 00B05 20C20 16Exx 13Dxx 18Gxx 14A05 14A10 16Gxx 16Pxx 17B55 20J06

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Chuai, Jianjun

A new degree bound for invariant rings. (English) Zbl 1103.13006

Proc. Am. Math. Soc. 133, No. 5, 1325-1333 (2005).

Reviewer: Samir Bouchiba (Meknes)

MSC: 13A50

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Mikhalev, A. V.; Pilz, Günter F.

The concise handbook of algebra. (English) Zbl 1008.00004

Dordrecht: Kluwer Academic Publishers. xvi, 618 p. (2002).

Reviewer: A.Akutowicz (Berlin)

MSC: 00A20 00A05 20-00 13-00 16-00 12-00 06-00 18-00 08-00

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Adler, Allan

Invariants of \(\text{SL}_2(\mathbb{F}_q)\cdot\text{Aut}(\mathbb{F}_q)\) acting on \(\mathbb{C}^n\) for \(q=2n\pm 1\). (English) Zbl 0987.14029

Levy, Silvio (ed.), The eightfold way. The beauty of Klein’s quartic curve. Cambridge: Cambridge University Press. Math. Sci. Res. Inst. Publ. 35, 175-219 (1999).

Reviewer: R.J.Shank (Canterbury)

MSC: 14L24 13A50 14L30 32M17 15A72

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Kemper, Gregor; Steel, Allan

Some algorithms in invariant theory of finite groups. (English) Zbl 0954.13002

Dräxler, P. (ed.) et al., Computational methods for representations of groups and algebras. Proceedings of the Euroconference in Essen, Germany, April 1-5, 1997. Basel: Birkhäuser. Prog. Math. 173, 267-285 (1999).

Reviewer: C.Baetica (Bucureşti)

MSC: 13A50 20C20 13-04

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Fleischmann, Peter; Lempken, Wolfgang

On degree bounds for invariant rings of finite groups over finite fields. (English) Zbl 0936.13004

Mullin, Ronald C. (ed.) et al., Finite fields: theory, applications, and algorithms. Fourth international conference, Waterloo, Ontario, Canada, August 12-15, 1997. Providence, RI: American Mathematical Society. Contemp. Math. 225, 33-41 (1999).

Reviewer: Vladimir L.Popov (Moskva)

MSC: 13A50 20C20

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Smith, Larry

Polynomial invariants of finite groups. A survey of recent developments. (English) Zbl 0904.13004

Bull. Am. Math. Soc., New Ser. 34, No. 3, 211-250 (1997).

Reviewer: P.Schenzel (Halle)

MSC: 13A50 55S10

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Angel, J.; Trimble, C.; Shook, B.; Terras, A.

Graph spectra for finite upper half planes over rings. (English) Zbl 0833.11059

Linear Algebra Appl. 226-228, 423-457 (1995).

Reviewer: J.Angel (Las Vegas)

MSC: 11T99 05C50 05C25

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Smith, Larry

Polynomial invariants of finite groups. (English) Zbl 0864.13002

Research Notes in Mathematics 6. Wellesley, MA: A. K. Peters (ISBN 1-56881-053-9). xiv, 360 p. (1995).

Reviewer: P.Schenzel (Halle)

MSC: 13A50 14L24 13-02 14-01

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Lee, Hyangsook

Invariant theory over the tensor product of a polynomial algebra and an exterior algebra. (English) Zbl 0829.15023

Commun. Algebra 23, No. 2, 753-769 (1995).

Reviewer: B.Kunyavskii (Ramat Gan)

MSC: 15A72 16S34 15A75 13A50 20C20

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Roggenkamp, Klaus W.

Blocks with cyclic defect (Green orders). (English) Zbl 0818.20009

Dlab, V. (ed.) et al., Finite dimensional algebras and related topics. Proceedings of the NATO Advanced Research Workshop on Representations of algebras and related topics. Ottawa, Canada, August 10-18, 1992. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 424, 265-276 (1994).

Reviewer: B.Külshammer (Jena)

MSC: 20C20 16H05 16G30 20C11

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Palmer, Theodore W.

**Banach algebras and the general theory of *-algebras. Volume I: algebras and Banach algebras.** (English) Zbl 0809.46052

Encyclopedia of Mathematics and Its Applications. 49. Cambridge: Cambridge University Press. xii, 794 p. (1994).

Reviewer: W.Żelazko (Warszawa)

MSC: 46Kxx 46-02 47-02 43-02 46Jxx 46B22 46Hxx 46M05 46L05 47L30 47L10

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Abdulali, Salman

Conjugation of Kuga fiber varieties. (English) Zbl 0758.14028

Math. Ann. 294, No. 2, 225-234 (1992).

Reviewer: S.Abdulali (Worcester/Mass.)

MSC: 14K05 14A05 11G18 14G35

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Erdmann, Karin; Skowroński, Andrzej

On Auslander-Reiten components of blocks and self-injective biserial algebras. (English) Zbl 0757.16004

Trans. Am. Math. Soc. 330, No. 1, 165-189 (1992).

Reviewer: I.Assem (Sherbrooke)

MSC: 16G20 16G60 20C20 16G30 16P10 20C05

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Du, Jie

The modular representation theory of \(q\)-Schur algebras. II. (English) Zbl 0724.20011

Math. Z. 208, No. 4, 503-536 (1991).

Reviewer: J.Du (Charlottesville)

MSC: 20C20 20C30 20C05 20G05 16S50 16G30

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Du, Jie

The modular representation theory of \(q\)-Schur algebras. (English) Zbl 0792.20009

Trans. Am. Math. Soc. 329, No. 1, 253-271 (1992).

Reviewer: Shi Jianyi (Shanghai)

MSC: 20C20 20G05 16G30 20G40 20C30 17B37

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Kadison, Richard V.; Ringrose, John R.

Fundamentals of the theory of operator algebras. Volume II: Advanced theory. (English) Zbl 0601.46054

Pure and Applied Mathematics, 100-2. Orlando etc.: Academic Press (Harcourt Brace Jovanovich, Publishers). XIV, pp. 399-1074. (1986).

Reviewer: J.Cuntz

MSC: 46L10 46-01 46L51 46L53 46L54 46L35 46L45 46L05

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Jacobson, Nathan

Basic algebra I. 2nd ed. (English) Zbl 0557.16001

New York: W. H. Freeman and Company. XVIII, 499 p. £19.95 (1985).

Reviewer: B.Richter

MSC: 16-01 12-01 13-01 20-01 00A05 06-01 15-01

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Frenkel, I. B.; Lepowsky, J.; Meurman, A.

A natural representation of the Fischer-Griess monster with the modular function J as character. (English) Zbl 0543.20016

Proc. Natl. Acad. Sci. USA 81, 3256-3260 (1984).

MSC: 20D08 17B65 17B10 20C05 20C15 17B70

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Reiter, H.

Theta functions and symplectic groups. (English) Zbl 0539.43001

Monatsh. Math. 97, 219-232 (1984).

MSC: 43A15 11F03 11R56 11S85

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Poguntke, Detlev

Symmetry (or simple modules) of some Banach algebras. (English) Zbl 0429.46030

Harmonic analysis, Proc. Conf., Iraklion 1978, Lect. Notes Math. 781, 177-193 (1980).

MSC: 46H25 22D25 46H15

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Mathieu, E.

About a five times transitive function of 24 quantities. (Sur la fonction cinq fois transitive de 24 quantités.) (French) JFM 05.0088.01

Liouville J. (2) XVIII, 25-47 (1873).

Reviewer: Netto, Dr. (Berlin)

MSC: 26E25 20B20 11A41 13B10 15A04 20D45 13A50 14C20 11F03 11E04 14C25

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Full Text: EuDML Gallica

Found 43 Documents (Results 1–43)

Modular representation theory and commutative Banach algebras. (English) Zbl 07913524

Unit groups of commutative modular group algebras. (English) Zbl 07910540

The classifying element for quotients of Fermat curves. (English) Zbl 07909492

The Noether numbers for cyclic groups of \(pq\) order in the modular case. (English) Zbl 07892697

Iwasawa theory and its perspective. Volume 1. (English) Zbl 1536.11002

Parameterized counting and Cayley graph expanders. (English) Zbl 07690451

Modular invariants for some finite modular pseudo-reflection groups. (English) Zbl 1537.20091

The principal block of a \(\mathbb{Z}_{\ell}\)-spets and Yokonuma type algebras. (English) Zbl 1511.20140

From noncommutative diagrams to anti-elementary classes. (English) Zbl 1474.18004

The Picard group of an order and Külshammer reduction. (English) Zbl 1489.20006

Right angled Artin groups and partial commutation, old and new. (English) Zbl 1489.20018

When are permutation invariants Cohen-Macaulay over all fields? (English) Zbl 1460.13010

On Cohen-Macaulayness and depth of ideals in invariant rings. (English) Zbl 1333.13007

Modular group actions on algebras and \(p\)-local Galois extensions for finite groups. (English) Zbl 1368.13005

Geometry and arithmetic on the Siegel-Jacobi space. (English) Zbl 1317.32042

Stratifying modular representations of finite groups. (English) Zbl 1261.20057

Non-linear group actions with polynomial invariant rings and a structure theorem for modular Galois extensions. (English) Zbl 1231.13008

Charles Hermite’s stroll through the Galois fields. (Les promenades galoisiennes de Charles Hermite.) (English. French summary) Zbl 1258.01011

Modular invariant theory. (English) Zbl 1216.14001

Modules of covariants in modular invariant theory. (English) Zbl 1195.13003

Introduction to applied algebraic systems. (English) Zbl 1186.00003

Mini-workshop: Support varieties. Abstracts from the mini-workshop held February 15th – February 21st, 2009. (English) Zbl 1177.20003

A new degree bound for invariant rings. (English) Zbl 1103.13006

The concise handbook of algebra. (English) Zbl 1008.00004

Invariants of \(\text{SL}_2(\mathbb{F}_q)\cdot\text{Aut}(\mathbb{F}_q)\) acting on \(\mathbb{C}^n\) for \(q=2n\pm 1\). (English) Zbl 0987.14029

Some algorithms in invariant theory of finite groups. (English) Zbl 0954.13002

On degree bounds for invariant rings of finite groups over finite fields. (English) Zbl 0936.13004

Polynomial invariants of finite groups. A survey of recent developments. (English) Zbl 0904.13004

Graph spectra for finite upper half planes over rings. (English) Zbl 0833.11059

Polynomial invariants of finite groups. (English) Zbl 0864.13002

Invariant theory over the tensor product of a polynomial algebra and an exterior algebra. (English) Zbl 0829.15023

Blocks with cyclic defect (Green orders). (English) Zbl 0818.20009

Banach algebras and the general theory of *-algebras. Volume I: algebras and Banach algebras. (English) Zbl 0809.46052

Conjugation of Kuga fiber varieties. (English) Zbl 0758.14028

On Auslander-Reiten components of blocks and self-injective biserial algebras. (English) Zbl 0757.16004

The modular representation theory of \(q\)-Schur algebras. II. (English) Zbl 0724.20011

The modular representation theory of \(q\)-Schur algebras. (English) Zbl 0792.20009

Fundamentals of the theory of operator algebras. Volume II: Advanced theory. (English) Zbl 0601.46054

Basic algebra I. 2nd ed. (English) Zbl 0557.16001

A natural representation of the Fischer-Griess monster with the modular function J as character. (English) Zbl 0543.20016

Theta functions and symplectic groups. (English) Zbl 0539.43001

Symmetry (or simple modules) of some Banach algebras. (English) Zbl 0429.46030

About a five times transitive function of 24 quantities. (Sur la fonction cinq fois transitive de 24 quantités.) (French) JFM 05.0088.01

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**Banach algebras and the general theory of *-algebras. Volume I: algebras and Banach algebras.** (English) Zbl 0809.46052