Cohomological finite generation for the group scheme SL2

被引：0

作者：

van der Kallen, Wilberd ^{[1
]}

机构：

[1] Univ Utrecht, NL-3584 CD Utrecht, Netherlands

来源：

JOURNAL OF ALGEBRA | 2013年 / 390卷

关键词：

Group scheme; Rational cohomology; Finite generation;

D O I：

10.1016/j.jalgebra.2013.05.030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be the group scheme SL2 defined over a noetherian ring k. If G acts on a finitely generated commutative k-algebra A, then H*(G, A) is a finitely generated k-algebra. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：216 / 220

页数：5

共 50 条

[31] SL2 OVER GROUP-RINGS OF CYCLIC GROUPS
SIDKI, S
JOURNAL OF ALGEBRA, 1990, 134 (01) : 60 - 79
[32] Von Neumann algebras associated with the group SL2(R)
Wu, Wen Ming
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2011, 27 (09) : 1697 - 1704
[33] RATIONALITY OF THE FIELDS OF INVARIANTS OF REDUCIBLE REPRESENTATIONS OF THE SL2 GROUP
KATSYLO, PI
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1984, (05): : 77 - 79
[34] Rationality of fields of invariants for some representations of SL2 x SL2
Ma, Shouhei
COMPOSITIO MATHEMATICA, 2013, 149 (07) : 1225 - 1234
[35] UNITARY K-HOMOLOGY, SL2 AND THE CLASS GROUP
SNAITH, V
MATHEMATISCHE ZEITSCHRIFT, 1983, 184 (03) : 321 - 332
[36] On the acylindrical hyperbolicity of the tame automorphism group of SL2(C)
Martin, Alexandre
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2017, 49 (05) : 881 - 894
[37] TOPOLOGICAL REPRESENTATIONS OF THE QUANTUM GROUP U(Q)(SL2)
FELDER, G
WIECZERKOWSKI, C
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 138 (03) : 583 - 605
[38] Revisit on representation theory of quantum group Uq(sl2)
Xu, Yongjun
Chen, Jialei
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2024, 67 (01): : 23 - 32
[39] The p-adic group ring of SL2(Pf)
Eisele, Florian
JOURNAL OF ALGEBRA, 2014, 410 : 421 - 459
[40] Limit multiplicities for SL2(OF) in SL2(Rr1 ⊕ Cr2)
Matz, Jasmin
GROUPS GEOMETRY AND DYNAMICS, 2019, 13 (03) : 841 - 881

← 1 2 3 4 5 →