Found 192 Documents (Results 1–100)
Limit points and additive group actions. (English) Zbl 1540.14086
Reviewer: Klaus Altmann (Berlin)
Modified Makar-Limanov and Derksen invariants. (English) Zbl 1536.14053
Reviewer: Wenchao Zhang (Huizhou)
Varieties of exponential \(R\)-groups. (English. Russian original) Zbl 1535.20138
Algebra Logic 62, No. 2, 119-136 (2023); translation from Algebra Logika 62, No. 2, 179-204 (2023).
Reviewer: Enrico Jabara (Venezia)
BFN Springer theory. (English) Zbl 1519.17006
Reviewer: Mee Seong Im (Annapolis)
On the nilpotent orbits arising from admissible affine vertex algebras. (English) Zbl 1541.17002
Reviewer: Volodymyr Mazorchuk (Uppsala)
Orbits of the automorphism group of horospherical varieties, and divisor class group. (English. Russian original) Zbl 1522.14078
Proc. Steklov Inst. Math. 318, 38-44 (2022); translation from Tr. Mat. Inst. Steklova 318, 43-50 (2022).
Topological invariants of groups and Koszul modules. (English) Zbl 1514.57028
Reviewer: Michael J. Falk (Flagstaff)
Independent axiomatizability of quasivarieties of torsion-free nilpotent groups. (English. Russian original) Zbl 1515.08008
Algebra Logic 60, No. 2, 79-88 (2021); translation from Algebra Logika 60, No. 2, 123-136 (2021).
Group extensions and marginal series of pair of groups. (English) Zbl 1476.20029
Reviewer: Enrico Jabara (Venezia)
The topology of Baumslag-Solitar representations. (English) Zbl 1476.55033
Reviewer: Antonio Viruel (Málaga)
Varieties of exponential MR-groups. (English. Russian original) Zbl 1476.20067
Dokl. Math. 101, No. 1, 1-4 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 490, 5-8 (2020).
The super-rank of a locally nilpotent derivation of a polynomial ring. (English) Zbl 1455.13012
Kuroda, Shigeru (ed.) et al., Polynomial rings and affine algebraic geometry. Selected papers based on the presentations at the conference, PRAAG 2018, Tokyo, Japan, February 12–16, 2018. Cham: Springer. Springer Proc. Math. Stat. 319, 143-150 (2020).
Generalized normal subgroups. (English) Zbl 1488.20056
Metabelian pro-\(p\)-groups with a single relation. (English. Russian original) Zbl 1484.20050
Algebra Logic 59, No. 1, 82-86 (2020); translation from Algebra Logika 59, No. 1, 116-122 (2020).
MSC:
20E18
Axiomatisability of the class of monolithic groups in a variety of nilpotent groups. (English) Zbl 1481.20097
A Levi class generated by a quasivariety of nilpotent groups. (English. Russian original) Zbl 1443.20042
Algebra Logic 58, No. 4, 327-336 (2019); translation from Algebra Logika 58, No. 4, 486-499 (2019).
Reviewer: Alexander Ivanovich Budkin (Barnaul)
Universal theories and centralizer dimensions of groups. (English. Russian original) Zbl 1485.03128
Algebra Logic 58, No. 3, 268-281 (2019); translation from Algebra Logika 58, No. 3, 397-416 (2019).
Parabolic conjugation and commuting varieties. (English) Zbl 1442.22020
Reviewer: Ronan Terpereau (Dijon)
The Poisson characteristic variety of unitary irreducible representations of exponential Lie groups. (English) Zbl 1431.22010
Baklouti, Ali (ed.) et al., Geometric and harmonic analysis on homogeneous spaces. Selected papers of the 5th Tunisian-Japanese conference, PTJC 2017, Mahdia, Tunisia, December 17–21, 2017. Cham: Springer. Springer Proc. Math. Stat. 290, 207-217 (2019).
Poincaré series of character varieties for nilpotent groups. (English) Zbl 1443.22009
Reviewer: Daniel Juan Pineda (Michoacan)
Computing the associated cycles of certain Harish-Chandra modules. (English) Zbl 1422.22016
Reviewer: Chao-Ping Dong (Changsha)
Locally nilpotent derivations of rings graded by an abelian group. (English) Zbl 1396.14060
Masuda, Kayo (ed.) et al., Algebraic varieties and automorphism groups. Proceedings of the workshop held at RIMS, Kyoto University, Kyoto, Japan, July 7–11, 2014. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-86497-048-8/hbk). Advanced Studies in Pure Mathematics 75, 29-48 (2017).
The size of infinite-dimensional representations. (English) Zbl 1381.22011
Reviewer: Kyo Nishiyama (Aoyama)
Equivalence classes of \(\mathrm{GL}(p, \mathbb{C})\times\mathrm{GL}(q,\mathbb{C})\) orbits in the flag variety of \(\mathfrak{gl}(p + q, \mathbb{C})\). (English) Zbl 1365.22003
Reviewer: V. V. Gorbatsevich (Moskva)
Fundamentals of the theory of varieties of nilpotent MR-groups. (English. Russian original) Zbl 1393.20011
Sib. Math. J. 57, No. 6, 935-942 (2016); translation from Sib. Mat. Zh. 57, No. 6, 1197-1207 (2016).
Examples of leading term cycles of Harish-Chandra modules. (English) Zbl 1354.22018
Reviewer: Kyo Nishiyama (Aoyama)
Universal theory of a free polynilpotent group. (English. Russian original) Zbl 1360.20024
Izv. Math. 80, No. 3, 623-632 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 3, 173-183 (2016).
Codimension one connectedness of the graph of associated varieties. (English) Zbl 1354.22017
Reviewer: Dmitry Artamonov (Moskva)
Singularity of the varieties of representations of lattices in solvable Lie groups. (English) Zbl 1347.22008
Reviewer: Gabriela Paola Ovando (Rosario)
A note on nilpotent representations. (English) Zbl 1368.20036
Reviewer: Enrico Jabara (Venezia)
Springer isomorphisms in characteristic \(p\). (English) Zbl 1338.14048
Reviewer: Christopher P. Bendel (Menomonie)
Degenerate Whittaker functionals for real reductive groups. (English) Zbl 1315.22018
Reviewer: V. Gorbatsevich (Moskva)
The variety of nilpotent elements and invariant polynomial functions on the special algebra \(S_{n}\). (English) Zbl 1387.17012
Components of Springer fibers associated to closed orbits for the symmetric pairs \((\mathrm{Sp}(2n), \mathrm{Sp}(2p) \times \mathrm{Sp}(2q))\) and \((\mathrm{SO}(2n), \mathrm{GL}(n))\). II. (English) Zbl 1310.22010
Reviewer: Uberto Cattaneo (Maggia)
Degenerate group of type \(A\): representations and flag varieties. (English. Russian original) Zbl 1336.17005
Funct. Anal. Appl. 48, No. 1, 59-71 (2014); translation from Funkts. Anal. Prilozh. 48, No. 1, 73-88 (2014).
Reviewer: V. V. Gorbatsevich (Moskva)
Equivariant \(K\)-theory of generalized Steinberg varieties. (English) Zbl 1327.14213
Reviewer: Vladimir L. Popov (Moskva)
The abelianization of the Johnson kernel. (English) Zbl 1344.57001
Reviewer: Athanase Papadopoulos (Strasbourg)
Extremal curves in nilpotent Lie groups. (English) Zbl 1278.53035
Reviewer: Jeremy Tyson (Urbana)
MSC:
53C17
Redidual properties in supersimple groups. (Propriétés résiduelles dans les groupes supersimples.) (French. English summary) Zbl 1222.03038
Reviewer: Carlo Toffalori (Camerino)
Harish Chandra modules of rank one Lie groups with admissible restriction to some reductive subgroup. (English) Zbl 1206.22008
Reviewer: Salah Mehdi (Metz)
Resolution of null fiber and conormal bundles on the Lagrangian Grassmannian. (English) Zbl 1206.14072
Reviewer: Vladimir L. Popov (Moskva)
Perverse sheaves on affine flags and nilpotent cone of the Langlands dual group. (English) Zbl 1214.14012
Reviewer: Christopher P. Bendel (Menomonie)
Irregular and singular loci of commuting varieties. (English) Zbl 1189.17017
Reviewer: Evgeny Smirnov (Moscow)
Varieties of modules for \(\mathbb Z/2\mathbb Z \times \mathbb Z/2\mathbb Z\). (English) Zbl 1139.14037
Reviewer: Dmitri Panyushev (Bonn)
A new realization of the cohomology of Springer fibers. (English) Zbl 1081.14068
Dani, S. G. (ed.) et al., Algebraic groups and arithmetic. Proceedings of the international conference, Mumbai, India, December 17–22, 2001. New Delhi: Narosa Publishing House/Published for the Tata Institute of Fundamental Research (ISBN 81-7319-618-4/hbk). 119-125 (2004).
Reviewer: Christopher P. Bendel (Menomonie)
On orbital variety closures in \(\mathfrak{sl}_n\). II: Descendants of a Richardson orbital variety. (English) Zbl 1077.17009
Reviewer: Vesselin Drensky (Sofia)
A particular type of eigenvalue of Einstein solvmanifolds. (Sur un type particulier de valeur propre des solvariétés d’Einstein.) (French) Zbl 1057.53031
Reviewer: Sergey Lüdkovsky (Moskva)
Blocks of finite type in reduced enveloping algebras for classical Lie algebras. (English) Zbl 0987.17005
Reviewer: Jörg Feldvoss (Hamburg)
On spherical nilpotent orbits and beyond. (English) Zbl 0944.17013
Reviewer: Mark R.Sepanski (Waco)
Associated variety, Kostant-Sekiguchi correspondence, and locally free \(U(n)\)-action on Harish-Chandra modules. (English) Zbl 0931.22008
Reviewer: T.Kawazoe (Yokohama)
Decomposition varieties in semisimple Lie algebras. (English) Zbl 0928.17020
Reviewer: M.Kuznetsov (Nizhnij Novgorod)
Modular representations of simple Lie algebras. (English) Zbl 0962.17013
Bull. Am. Math. Soc., New Ser. 35, No. 2, 105-122 (1998); Erratum, No. 3, 231 (1998).
Reviewer: Jörg Feldvoss (Hamburg)
The behavior of Fourier transforms for nilpotent Lie groups. (English) Zbl 0860.22005
Reviewer: Diep Do Ngoc (Hanoi)
Variations on the triangular theme. (English) Zbl 0840.22015
Gindikin, S. G. (ed.) et al., Lie groups and Lie algebras: E. B. Dynkin’s seminar. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 169, 43-73 (1995).
Reviewer: K.-H.Neeb (Erlangen)
Some non-finitely based varieties of groups and group representations. (English) Zbl 0845.20020
Reviewer: R.M.Bryant (Manchester)
Finite separability of tameness and primitivity in certain relatively free groups. (English) Zbl 0838.20034
Reviewer: G.A.Noskov (Omsk)
Conjugacy classes in semisimple algebraic groups. (English) Zbl 0834.20048
Mathematical Surveys and Monographs. 43. Providence, RI: American Mathematical Society (AMS). xviii, 196 p. (1995).
Reviewer: W.van der Kallen (Utrecht)
On the join of varieties of groups. (English) Zbl 0827.20037
Reviewer: S.Oates-Williams (St.Lucia)
Automorphisms in varieties of groups. (English) Zbl 0827.20046
Reviewer: S.Andreadakis (Athens)
A lattice of quasivarieties of nilpotent groups. (English. Russian original) Zbl 0823.20025
Algebra Logic 33, No. 1, 14-21 (1994); translation from Algebra Logika 33, No. 1, 25-36 (1994).
Reviewer: S.Oates-Williams (St.Lucia)
Refined Dynkin data for nilpotent elements. (English) Zbl 0832.22021
Reviewer: A.A.Bogush (Minsk)
Varieties of groups characterized by their finite groups. (Variétés de groupes charactérisées par leurs groupes finis.) (French) Zbl 0801.20004
Reviewer: S.Oates-Williams (St.Lucia)
Conditions of quasi-nilpotency in certain varieties of groups. (English) Zbl 0813.20027
Reviewer: R.M.Bryant (Manchester)
On groups with a splitting automorphism of prime order. (English. Russian original) Zbl 0841.20030
Sib. Math. J. 34, No. 2, 360-362 (1993); translation from Sib. Mat. Zh. 34, No. 2, 180-183 (1993).
Reviewer: N.Yu.Makarenko (Novosibirsk)
Local nilpotency in varieties of groups with operators. (English. Russian original) Zbl 0820.20033
Russ. Acad. Sci., Sb., Math. 78, No. 2, 379-396 (1994); translation from Mat. Sb. 184, No. 3, 137-160 (1993).
Reviewer: S.Oates-Williams (St.Lucia)
Automorphisms of free polynilpotent Lie algebras. (English) Zbl 0787.17007
Reviewer: M.Boral (Adana)
Automorphisms of free nilpotent-by-abelian groups. (English) Zbl 0798.20024
Reviewer: S.Andreadakis (Athens)
Nilpotent groups and their automorphisms. (English) Zbl 0795.20018
De Gruyter Expositions in Mathematics. 8. Berlin: Walter de Gruyter. xiii, 252 p. (1993).
Reviewer: G.E.Wall (Sydney)
Varieties of groups and \(m\)- identities. (Variétés de groupes et \(m\)-identités.) (French) Zbl 0823.20026
Combinatorial conditions in residually finite groups. II. (English) Zbl 0814.20023
Reviewer: A.I.Budkin (Barnaul)
On some classes of periodic FC-groups. (English) Zbl 0792.20044
Algebra, Proc. Int. Conf. Memory A. I. Mal’cev, Novosibirsk/USSR 1989, Contemp. Math. 131, Pt. 1, 499-509 (1992).
Reviewer: L.A.Bokut’ (Novosibirsk)
The word problem for solvable groups and Lie algebras. (English) Zbl 0818.20036
Algorithms and classification in combinatorial group theory, Lect. Workshop, Berkeley/CA (USA) 1989, Publ., Math. Sci. Res. Inst. 23, 61-67 (1992).
Reviewer: V.A.Artamonov (Moskva)
On varietal quotients defined by ideals generated by Fox derivatives. (English) Zbl 0774.20004
Reviewer: I.B.S.Passi (Chandigarh)
Tame primitivity for free nilpotent algebras. (English) Zbl 0759.16010
Reviewer: P.M.Cohn (London)
A generalized Freiheitssatz for centre-by-metabelian groups. (English) Zbl 0778.20014
Reviewer: Sheila Oates-Williams (St. Lucia)
Almost free groups in varieties. (English. Russian original) Zbl 0799.20030
Math. Notes 51, No. 3, 293-296 (1992); translation from Mat. Zametki 51, No. 3, 101-105 (1992).
Reviewer: D.Busneag (Craiova)
Almost-free groups in varieties. (English) Zbl 0751.20021
Reviewer: R.M.Bryant (Manchester)
Harmonic polynomials and Springer’s representation for \(\text{SL}(n,\mathbb{C})\). (English) Zbl 0827.20053
Reviewer: Cheng Chonhu (Xiangtan)
The word problem for solvable groups and Lie algebras, a boundary between solvability and unsolvability. (English) Zbl 0783.20018
Algebra, Proc. Int. Conf. Memory A. I. Mal’cev, Novosibirsk/USSR 1989, Contemp. Math. 131, Pt. 2, 53-57 (1992).
Reviewer: Yu.A.Bakhturin (Moskva)
Associated varieties and unipotent representations. (English) Zbl 0832.22019
Harmonic analysis on reductive groups, Proc. Conf., Brunswick/ME (USA) 1989, Prog. Math. 101, 315-388 (1991).
Reviewer: W.M.McGovern (Seattle)
On three questions in the theory of l-varieties. (Russian) Zbl 0755.06010
Reviewer: J.Rachůnek (Olomouc)
MSC:
06F15
Nilpotency in varieties of groups with operators. (Russian) Zbl 0735.20013
Reviewer: Yu.A.Medvedev
Generalized Engel identities. (Identités de Engel généralisées.) (French) Zbl 0764.20020
Reviewer: A.A.Iskander (Lafayette)
Nilpotency in varieties of groups with operators. (English. Russian original) Zbl 0805.20021
Math. Notes 50, No. 2, 869-871 (1991); translation from Mat. Zametki 50, No. 2, 142-145 (1991).
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