Cohomology of infinitesimal quantum algebras
type: Item
instance of: scholarly article
title: Cohomology of infinitesimal quantum algebras
zbMATH Open document ID: 0981.17013
author: Masaharu Kaneda
published in: Journal of Algebra
publication date: 2002-04-02T00:00:00Z
review text: In this very technically written paper the author shows an isomorphism between two functors defined by the quantum Frobenius homomorphism, which enables the definition of the Frobenius homomorphism in the cohomology of infinitesimal quantum algebras.
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 17B56
zbMATH DE Number: 1441807
zbMATH Keywords: Frobenius morphism
zbMATH Keywords: infinitesimal quantum algebra
reviewed by: Helmut Boseck
MaRDI profile type: Publication
full work available at URL: jabr.1999.8171
OpenAlex ID: W2084764210
cites work: The Frobenius morphism on the cohomology of homogeneous vector bundles on G/B
cites work: Quantum groups at roots of ±1
cites work: Fusion categories arising from semisimple Lie algebras
cites work: Representations of quantum algebras
cites work: Injective Modules for Quantum Algebras
cites work: Representations of quantum algebras. The mixed case.
cites work: A short proof of the Kempf vanishing theorem
cites work: Q3797389
cites work: Linear systems on homogeneous spaces
cites work: Q3816243
cites work: Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
cites work: Quantum groups at roots of 1
cites work: Introduction to quantum groups
cites work: A q-Analogue of Kempf's vanishing theorem
cites work: Schur algebras and global bases: New proofs of old vanishing theorems
cites work: Irreducible modules of quantized enveloping algebras at roots of 1
DOI: 10.1006/JABR.1999.8171
description: scientific article; zbMATH DE number 1441807