Dimensions of skew-shifted Young diagrams and projective characters of the infinite symmetric group
From MaRDI portal
Publication:1966347
zbMath0960.20009arXivmath/0303169MaRDI QIDQ1966347
Publication date: 7 March 2000
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0303169
infinite symmetric groupsindecomposable projective charactersSchur's \(P\)-functionsskew shifted Young diagrams
Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Projective representations and multipliers (20C25) Representations of infinite symmetric groups (20C32)
Related Items
Polynomial approach to explicit formulae for generalized binomial coefficients, Schubert classes in the equivariant cohomology of the Lagrangian Grassmannian, Polynomiality of shifted Plancherel averages and content evaluations, \(\mathfrak{sl}(2)\) operators and Markov processes on branching graphs, \(K\)-theoretic analogues of factorial Schur \(P\)- and \(Q\)-functions, A new solvable two-matrix model and the BKP tau function, Capelli identities for lie superalgebras, Pfaffian point processes from free fermion algebras: perfectness and conditional measures, Random strict partitions and random shifted tableaux, Schur 𝑄-functions and the Capelli eigenvalue problem for the Lie superalgebra \ger𝑞(𝑛), Law of large numbers for infinite random matrices over a finite field, Asymptotics of traces of paths in the Young and Schur graphs, Polynomiality of Plancherel averages of hook-content summations for strict, doubled distinct and self-conjugate partitions