Structure constants of diagonal reduction algebras of gl type
classification
🧮 math.RA
math-phmath.MPmath.RT
keywords
algebradiagonalreductionrelatedtheoryalgebrasconstantsdecompositions
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We describe, in terms of generators and relations, the reduction algebra, related to the diagonal embedding of the Lie algebra $\gl_n$ into $\gl_n\oplus\gl_n$. Its representation theory is related to the theory of decompositions of tensor products of $\gl_n$-modules.
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