GROUP GRADINGS ON FINITARY SIMPLE LIE ALGEBRAS-Reference-Cited by-同舟云学术

GROUP GRADINGS ON FINITARY SIMPLE LIE ALGEBRAS

Published:2012-07-11 Issue:05 Volume:22 Page:1250046
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

BAHTURIN YURI¹,BREŠAR MATEJ²³,KOCHETOV MIKHAIL¹

Affiliation:

1. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL, Canada A1C5S7, Canada

2. Faculty of Mathematics and Physics, University of Ljubljana, Slovenia

3. Faculty of Natural Sciences and Mathematics, University of Maribor, Slovenia

Abstract

We classify, up to isomorphism, all gradings by an arbitrary abelian group on simple finitary Lie algebras of linear transformations (special linear, orthogonal and symplectic) on infinite-dimensional vector spaces over an algebraically closed field of characteristic different from 2.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196712500464

Reference15 articles.

1. Lie gradings on associative algebras

2. Classification of group gradings on simple Lie algebras of types A, B, C and D

3. Group gradings on simple Lie algebras in positive characteristic

4. Gradings on simple Jordan and Lie algebras

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