Diagonal reduction algebras of \gl type

2009/12/20 by S. Khoroshkin, Khoroshkin, Sergey, O. Ogievetsky +1 · 3 citations
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topics in Algebra #Rough Sets and Fuzzy Logic

paper · doi:10.48550/arxiv.0912.4055

Abstract

Several general properties, concerning reduction algebras - rings of definition and algorithmic efficiency of the set of ordering relations - are discussed. For the reduction algebras, related to the diagonal embedding of the Lie algebra gl_n into gl_n ⊕ gl_n, we establish a stabilization phenomenon and list the complete sets of defining relations.

Cited by

• Dirac reduction algebra
• Parabolic Stabilization and Cutting for Reduction Superalgebras
• Exact Solutions to the Klein--Gordon Equation via Reduction Algebras

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