Structure Constants of Diagonal Reduction Algebras of gl Type
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⊕gl_n. Its representation theory is related to the theory of decompositions of tensor products of gl_n-modules.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
National Academy of Science of Ukraine
2011-07-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2011.064 |