Found 366 Documents (Results 1–100)
Weil zeta functions of group representations over finite fields. (English) Zbl 1540.20025
Reviewer: Alastair Litterick (Colchester)
Irreducible modules of \(\mathfrak{sl}_{mp}\) in characteristic \(p\) with regular or subregular nilpotent \(p\)-characters. (English) Zbl 1507.17014
Reviewer: Victor Petrogradsky (Brasília)
Weight multiplicities of irreducible representations of the Lie algebra \(sl_3\). (Ukrainian. English summary) Zbl 07909351
On the modular McKay graph of \(\mathrm{SL}_n(p)\) with respect to its standard representation. (English) Zbl 1473.20021
Reviewer: Mikhail Kabenyuk (Kemerovo)
Bounds on the dimension of \(\mathrm{Ext}\) for finite groups of Lie type. (English) Zbl 1442.20003
Reviewer: Christopher P. Bendel (Menomonie)
Construction of the irreducible modular representations of a finite group. (English) Zbl 1485.20026
MSC:
20C20
On hereditary irreducible unimonomial representations of cyclic \(p\)-groups over local rings of characteristic \(p\). (Ukrainian. English summary) Zbl 07909307
Multiplicity one for the \(\mathrm {mod} p\) cohomology of Shimura curves: the tame case. (English) Zbl 1454.11106
On symplectic periods for inner forms of \(\mathrm{GL}_n\). (English) Zbl 1444.11102
Reviewer: Ivan Matić (Osijek)
Multiplicity one for certain paramodular forms of genus two. (English) Zbl 1425.11098
Bruinier, Jan Hendrik (ed.) et al., L-functions and automorphic forms. LAF, Heidelberg, Germany, February 22–26, 2016. Cham: Springer. Contrib. Math. Comput. Sci. 10, 251-264 (2017).
Irreducible representations of unipotent subgroups of symplectic and unitary groups defined over rings. (English) Zbl 1388.20019
Reviewer: Wilberd van der Kallen (Utrecht)
On centers of blocks with one simple module. (English) Zbl 1380.20012
Reviewer: János Kurdics (Nyíregyháza)
Abelian quotients and orbit sizes of solvable linear groups. (English) Zbl 1353.20007
Reviewer: Robert W. van der Waall (Amsterdam)
Maximal subalgebras of Cartan type in the exceptional Lie algebras. (English) Zbl 1375.17012
Reviewer: Jörg Feldvoss (Mobile)
The irreducible representations of the alternating group which remain irreducible in characteristic \(p\). (English) Zbl 1344.20018
Reviewer: Liron Speyer (Osaka)
Open questions on modular Lie algebras. (English) Zbl 1369.17015
Avitabile, Marina (ed.) et al., Lie algebras and related topics. Workshop on Lie algebras, in honor of Helmut Strade’s 70th birthday, Università degli Studi di Milano-Bicocca, Milano, Italy, May 22–24, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1023-0/pbk; 978-1-4704-2815-0/ebook). Contemporary Mathematics 652, 237-239 (2015).
Classification of modular representations of \(\text{GL}_n(q)\) of nonnatural characteristic. (Classification des représentations modulaires de \(\text{GL}_n(q)\) en caractéristique non naturelle.) (French. English summary) Zbl 1346.20064
Chamizo, Fernando (ed.) et al., Trends in number theory. Fifth Spanish meeting on number theory, Universidad de Sevilla, Sevilla, Spain, July 8–12, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME) (ISBN 978-0-8218-9858-1/pbk; 978-1-4704-2729-0/ebook). Contemporary Mathematics 649, 163-183 (2015).
The conjectural relation between generalized Shalika models on \(\mathrm{SO}_{4n}(F)\) and symplectic linear models on \(\mathrm{Sp}_{4n}(F)\): a toy example. (English) Zbl 1383.11068
Bertin, Marie José (ed.) et al., Women in numbers Europe. Research directions in number theory. Based on the presentations at the WINE workshop, Luminy, France, October 13–18, 2013. Cham: Springer (ISBN 978-3-319-17986-5/hbk; 978-3-319-17987-2/ebook). Association for Women in Mathematics Series 2, 87-107 (2015).
The blocks of the partition algebra in positive characteristic. (English) Zbl 1344.20015
Reviewer: Hu Jun (Beijing)
Completion of a bijective proof of the Alperin weight conjecture for \(S_n\) when \(p=2\). (English) Zbl 1331.20012
Some Weyl modules of the algebraic groups of type \(E_6\). (English) Zbl 1341.20038
Narasimha Sastry, N.S. (ed.), Groups of exceptional type, Coxeter groups and related geometries. Invited articles based on the presentations at the international conference on “Groups and geometries”, Bangalore, India, December 10–21, 2012. New Delhi: Springer (ISBN 978-81-322-1813-5/hbk; 978-81-322-1814-2/ebook). Springer Proceedings in Mathematics & Statistics 82, 279-300 (2014).
Modular representations of the special linear groups with small weight multiplicities. (English) Zbl 1335.20047
Growth of cross-characteristic representations of finite quasisimple groups of Lie type. (English) Zbl 1336.20012
Zeros of Brauer characters and linear actions of finite groups: small primes. (English) Zbl 1315.20007
Reviewer: Robert W. van der Waall (Huizen)
Irreducible representations of \(q\)-Schur superalgebras at a root of unity. (English) Zbl 1325.20043
Commuting varieties of \(r\)-tuples over Lie algebras. (English) Zbl 1298.20056
Reviewer: Christopher P. Bendel (Menomonie)
Quadratic unipotent blocks in general linear, unitary and symplectic groups. (English) Zbl 1291.20048
Irreducible representations of the classical Lie superalgebra of type \(A(0,n)\) in prime characteristic. (English) Zbl 1291.17009
Dimension formulas for some modular representations of the symplectic group in the natural characteristic. (English) Zbl 1268.20047
Characteristic polynomials and fixed spaces of semisimple elements. (English) Zbl 1320.20042
Misra, Kailash C. (ed.) et al., Recent developments in Lie algebras, groups and representation theory. 2009-2011 Southeastern Lie theory workshop series: Combinatorial Lie theory and applications, North Carolina State University, Raleigh, NC, USA, October 9–11, 2009. Homological methods in representation theory, University of Georgia, Athens, GA, USA, May 22–24, 2010. Finite and algebraic groups, University of Virgina, Charlottesville, VA, USA, June 1–4, 2011. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6917-8/hbk). Proceedings of Symposia in Pure Mathematics 86, 173-186 (2012).
Decomposition numbers for projective modules of finite Chevalley groups. (English) Zbl 1294.20057
Bianchi, Mariagrazia (ed.) et al., Ischia group theory 2010. Proceedings of the conference in group theory, Ischia, Naples, Italy, April 14–17, 2010. Hackensack, NJ: World Scientific (ISBN 978-981-4350-38-9/hbk; 978-981-4350-05-1/ebook). 376-393 (2012).
Small-dimensional projective representations of symmetric and alternating groups. (English) Zbl 1316.20007
Reviewer: Stuart Martin (Cambridge)
Central characters for smooth irreducible modular representations of \(\operatorname{GL}_2(\mathbb Q_p)\). (English) Zbl 1266.22018
Reviewer: Lejla Smajlovic (Sarajevo)
An upper bound on the exceptional characteristics for Lusztig’s character formula. (English) Zbl 1266.20059
Reviewer: Wilberd van der Kallen (Utrecht)
Relating simple modules in weight 2 blocks of symmetric groups. (English) Zbl 1262.20010
Reviewer: Stuart Martin (Cambridge)
Adequate subgroups. II. (English) Zbl 1309.11048
Reviewer: Leonard Jones (Shippensburg)
Representation growth in positive characteristic and conjugacy classes of maximal subgroups. (English) Zbl 1244.20007
Reviewer: John D. Dixon (Ottawa)
Harmonic analysis on a class of spherical homogeneous spaces. (English. Russian original) Zbl 1286.43010
Math. Notes 90, No. 5, 678-685 (2011); translation from Mat. Zametki 90, No. 5, 703-711 (2011).
Reviewer: Vasily A. Chernecky (Odessa)
Some applications of CHEVIE to the theory of algebraic groups. (English) Zbl 1258.20038
Reviewer: Christopher P. Bendel (Menomonie)
The Jordan block structure of images of long root elements in modular representations of algebraic groups of types \(B_n\) and \(F_4\). (Russian. English summary) Zbl 1256.20044
MSC:
20G05
On Stanley’s inequalities for character multiplicities. (English) Zbl 1259.20001
Reviewer: John D. Dixon (Ottawa)
The \(\text{GL}_n(q)\)-module structure of the symmetric algebra around the Steinberg module. (English) Zbl 1234.20017
Reviewer: Christopher P. Bendel (Menomonie)
Sheaves on affine Schubert varieties, modular representations, and Lusztig’s conjecture. (English) Zbl 1270.20053
Brauer trees in finite special linear groups. (English) Zbl 1216.20004
Reviewer: Ivan D. Chipchakov (Sofia)
On the irreducible representations of the alternating group which remain irreducible in characteristic \(p\). (English) Zbl 1236.20009
Reviewer: Mark Wildon (London)
Lusztig’s conjecture as a moment graph problem. (English) Zbl 1234.20054
Reviewer: Anne-Marie Aubert (Paris)
Restrictions of modular representations of special linear groups to \(A_1\times A_1\) subgroups. (English. Russian original) Zbl 1204.20053
Sib. Math. J. 51, No. 5, 892-898 (2010); translation from Sib. Mat. Zh. 51, No. 5, 1120-1128 (2010).
MSC:
20G05
Twisted \(L\)-functions over number fields and Hilbert’s eleventh problem. (English) Zbl 1221.11121
Reviewer: Florin Nicolae (Berlin)
The multiplicity one case of Lusztig’s conjecture. (English) Zbl 1207.20040
Reviewer: Wilberd van der Kallen (Utrecht)
Tensoring generalized characters with the Steinberg character. (English) Zbl 1204.20005
Reviewer: John D. Dixon (Ottawa)
Sylow \(d\)-tori of classical groups and the McKay conjecture. II. (English) Zbl 1260.20016
Reviewer: Ye Jiachen (Shanghai)
Sylow \(d\)-tori of classical groups and the McKay conjecture. I. (English) Zbl 1260.20015
Reviewer: Ye Jiachen (Shanghai)
Representations of the general linear groups which are irreducible over subgroups. (English) Zbl 1211.20017
Reviewer: John D. Dixon (Ottawa)
The second cohomology of simple \(\text{SL}_2\)-modules. (English) Zbl 1204.20055
Reviewer: Wilberd van der Kallen (Utrecht)
Unipotent elements from subsystem subgroups in the representations of the classical groups with large highest weights. (Russian. English summary) Zbl 1267.20060
MSC:
20G05
Representations of algebraic groups: some basics and progresses. (English) Zbl 1214.20042
Dong, Chongying (ed.) et al., Recent developments in algebra and related areas. Papers of the international conference on algebra and related areas, Tsinghua University, Beijing, China, August 18–20, 2007. Dedicated to Zhexian Wan in honor of his 80th birthday. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-135-3/pbk). Advanced Lectures in Mathematics (ALM) 8, 247-261 (2009).
Regular unipotent elements from subsystem subgroups of type \(C_2\) in representations. (Russian. English summary) Zbl 1183.20049
MSC:
20G05
Regular unipotent elements from subsystem subgroups of rank 2 in modular representations of classical groups. (English. Russian original) Zbl 1183.20048
J. Math. Sci., New York 156, No. 6, 943-953 (2009); translation from Zap. Nauchn. Semin. POMI 356, 159-178 (2008).
MSC:
20G05
The representation theory of the symmetric group. Foreword by P. M. Cohn, introduction by G. de B. Robinson. Reprint of the 1985 hardback ed. (English) Zbl 1159.20012
Encyclopedia of Mathematics and its Applications 16. Cambridge: Cambridge University Press (ISBN 978-0-521-10412-8/pbk). xxviii, 510 p. (2009).
Basic sets in defining characteristic for general linear groups of small rank. (English) Zbl 1173.20011
Reviewer: Michael Bate (York)
Rectangular low level case of modular branching problem for \(\text{GL}_n(K)\). (English) Zbl 1208.20042
MSC:
20G05
Representations of finite special linear groups in non-defining characteristic. (English) Zbl 1165.20009
Reviewer: Frauke Bleher (Iowa City)
On the decomposition map for symmetric groups. (English) Zbl 1197.20011
Reviewer: Hu Jun (Beijing)
Hall-Higman-type theorems for semisimple elements of finite classical groups. (English) Zbl 1173.20012
Reviewer: Ali Iranmanesh (Tehran)
On \(p\)-blocks of symmetric and alternating groups with all irreducible Brauer characters of prime power degree. (English) Zbl 1156.20011
Reviewer: Burkhard Külshammer (Jena)
Towards a Jordan decomposition of blocks of finite reductive groups. (Vers une décomposition de Jordan des blocs des groupes réductifs finis.) (French) Zbl 1194.20048
Block structure of unipotent elements of naturally embedded subgroups of type \(A_3\) in special modular representations of groups of type \(A_n\). (Russian. English summary) Zbl 1204.20054
MSC:
20G05
Small unipotent elements in representations of the special linear group with large highest weights. (Russian. English summary) Zbl 1204.20060
MSC:
20G05
Restrictions of some representations of the symplectic group to subgroups of type \(A_1\). (English) Zbl 1140.20036
MSC:
20G05
Fixed vectors for elements in modules for algebraic groups. (English) Zbl 1178.20041
Reviewer: Pham Huu Tiep (Gainesville)
On the finite-dimensional irreducible representations of \(\text{PSL}_2(\mathbb{Z})\). (English) Zbl 1183.20047
Irreducible \(p\)-Brauer characters of \(p\)-power degree for the symmetric and alternating groups. (English) Zbl 1140.20014
Reviewer: A. Khammash (Makkah)
Tackling the generation problem in condensation. (English) Zbl 1121.20009
Reviewer: Robert Wilson (London)
Modular representations of the supergroup \(Q(n)\). II. (English) Zbl 1122.20022
Reviewer: Volodymyr Mazorchuk (Uppsala)
A proof of a generalized Nakayama conjecture. (English) Zbl 1114.20005
Reviewer: Mohammad-Reza Darafsheh (Tehran)
Character theory of finite groups. Corrected reprint of the 1976 original. (English) Zbl 1119.20005
Providence, RI: AMS Chelsea Publishing (ISBN 0-8218-4229-3/hbk). xii, 303 p. (2006).
Reviewer: Roderick Gow (Dublin)
Coxeter orbits and modular representations. (English) Zbl 1109.20038
Reviewer: Ye Jiachen (Shanghai)
On the behavior of unipotent elements in representations of the classical groups with large highest weights. (Russian. English summary) Zbl 1165.20314
MSC:
20G05
Restrictions of some representations of the symplectic group to naturally embedded subgroups of type \(A_1\). (Russian. English summary) Zbl 1165.20311
MSC:
20G05
Frobenius-Schur indicators for a class of fusion categories. (English) Zbl 1108.16035
Reviewer: Earl J. Taft (New Brunswick)
MSC:
16W30
18M20
Modular branching rules for 2-column diagram representations of general linear groups. (English) Zbl 1104.20042
MSC:
20G05
The restrictions of representations of algebraic groups of types \(B_n\) and \(D_n\) to subgroups of type \(A_2\). (English) Zbl 1104.20046
MSC:
20G05
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