Support varieties for modules over Chevalley groups and classical Lie algebras

DOI10.1090/S0002-9947-07-04175-XzbMath1182.20039OpenAlexW2028033051WikidataQ115289080 ScholiaQ115289080MaRDI QIDQ5437619

Carlson, Jon F., Daniel K. Nakano, Zhengyuan Lin

Publication date: 21 January 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-07-04175-x

zbMATH Keywords

reductive algebraic groupsFrobenius kernelsnilpotent orbitsnormal varietiesfinite Chevalley groupssupport varietiesrestricted nullcones

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Homological methods in Lie (super)algebras (17B55) Representations of finite groups of Lie type (20C33) Cohomology theory for linear algebraic groups (20G10) Modular Lie (super)algebras (17B50)

Related Items (9)

Support varieties for Weyl modules over bad primes. ⋮ Unipotent elements and generalized exponential maps ⋮ Filtrations, 1-parameter subgroups, and rational injectivity ⋮ Springer isomorphisms in characteristic \(p\) ⋮ Support varieties for Frobenius kernels of classical groups. ⋮ On exponentiation and infinitesimal one-parameter subgroups of reductive groups. ⋮ Exponentiation of commuting nilpotent varieties ⋮ Geometric invariants of representations of finite groups ⋮ Rational points and orbits on the variety of elementary subalgebras

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