Statistics of irreducible components in large tensor powers of the spinor representation for \(\mathfrak{so}_{2n+1}\) as \(n \rightarrow \infty \)

DOI10.1007/s10958-022-05778-zOpenAlexW4226344133MaRDI QIDQ2146176

P. P. Nikitin, Anton A. Nazarov, Olga V. Postnova

Publication date: 16 June 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-05778-z

Mathematics Subject Classification ID

Statistics (62-XX) Lie algebras and Lie superalgebras (17Bxx) Limit theorems in probability theory (60Fxx)

Related Items (1)

Limit shape for infinite rank limit of tensor power decomposition for Lie algebras of series so2n+1 ^*

Cites Work

• Lattice path combinatorics and asymptotics of multiplicities of weights in tensor powers
• Representations of symmetric groups and free probability
• Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
• On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras
• The limit shape of a probability measure on a tensor product of modules of the \(B_n\) algebra
• Crystal base and a generalization of the Littlewood-Richardson rule for the classical Lie algebras
• Gaussian asymptotics of discrete \(\beta \)-ensembles
• Multiplicity function for tensor powers of modules of the \(A_n\) algebra
• Central limit theorems for biorthogonal ensembles and asymptotics of recurrence coefficients
• The Surprising Mathematics of Longest Increasing Subsequences
• Asymptotics of Random Matrices and Related Models
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