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This article is cited in 2 scientific papers (total in 2 papers)
Splints of root systems for special Lie subalgebras
V. D. Lyakhovsky, A.A. Nazarov, P. I. Kakin St. Petersburg State University, St. Petersburg, Russia
Abstract:
We consider special embeddings of a Lie subalgebra into simple Lie algebras. We classify the projections of algebra root systems and obtain the conditions under which a splint appears and the branching coefficients coincide with the weight multiplicities. Although such a coincidence is infrequent, it turns out to be connected with the Gelfand–Tsetlin basis.
Keywords:
Lie algebra, special subalgebra, branching, weight multiplicity, splint.
Citation:
V. D. Lyakhovsky, A.A. Nazarov, P. I. Kakin, “Splints of root systems for special Lie subalgebras”, TMF, 185:1 (2015), 127–138; Theoret. and Math. Phys., 185:1 (2015), 1471–1480
Linking options:
https://www.mathnet.ru/eng/tmf8924https://doi.org/10.4213/tmf8924 https://www.mathnet.ru/eng/tmf/v185/i1/p127
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Abstract page: | 270 | Full-text PDF : | 143 | References: | 66 | First page: | 37 |
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