Results 51 to 60 of about 933 (84)

Dedekind's eta-function and Rogers-Ramanujan identities

, 2010
We prove a q-series identity that generalises Macdonald's A_{2n}^{(2)} eta-function identity and the Rogers-Ramanujan identities. We conjecture our result to generalise even further to also include the Andrews-Gordon identities.Comment: 14 ...
Warnaar, S. Ole, Zudilin, Wadim
core   +1 more source

YANG–BAXTER FIELD FOR SPIN HALL–LITTLEWOOD SYMMETRIC FUNCTIONS

Forum of Mathematics, Sigma, 2019
Employing bijectivization of summation identities, we introduce local stochastic moves based on the Yang–Baxter equation for $U_{q}(\widehat{\mathfrak{sl}_{2}})$.
ALEXEY BUFETOV, LEONID PETROV
doaj   +1 more source

Twisted immanant and matrices with anticommuting entries

, 2015
This article gives a new matrix function named "twisted immanant," which can be regarded as an analogue of the immanant. This is defined for each self-conjugate partition through a "twisted" analogue of the irreducible character of the symmetric group ...
Itoh, Minoru
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Combinatorial formulas for shifted dual stable Grothendieck polynomials

Forum of Mathematics, Sigma
The K-theoretic Schur P- and Q-functions $G\hspace {-0.2mm}P_\lambda $ and $G\hspace {-0.2mm}Q_\lambda $ may be concretely defined as weight-generating functions for semistandard shifted set-valued tableaux.
Joel Lewis, Eric Marberg
doaj   +1 more source

STABILITY PATTERNS IN REPRESENTATION THEORY

Forum of Mathematics, Sigma, 2015
We develop a comprehensive theory of the stable representation categories of several sequences of groups, including the classical and symmetric groups, and their relation to the unstable categories.
STEVEN V SAM, ANDREW SNOWDEN
doaj   +1 more source

On Thom Polynomials for A4(−) via Schur Functions [PDF]

, 2007
2000 Mathematics Subject Classification: 05E05, 14N10, 57R45.We study the structure of the Thom polynomials for A4(−) singularities. We analyze the Schur function expansions of these polynomials.
Öztürk, Özer
core  

Wreath Macdonald operators

Forum of Mathematics, Sigma
We construct a novel family of difference-permutation operators and prove that they are diagonalized by the wreath Macdonald P-polynomials; the eigenvalues are written in terms of elementary symmetric polynomials of arbitrary degree.
Daniel Orr, Mark Shimozono, Joshua Wen
doaj   +1 more source

Splines on Cayley graphs of the symmetric group

Forum of Mathematics, Sigma
A spline is an assignment of polynomials to the vertices of a graph whose edges are labeled by ideals, where the difference of two polynomials labeling adjacent vertices must belong to the corresponding ideal. The set of splines forms a ring. We consider
Nathan R. T. Lesnevich
doaj   +1 more source

Regular Schur labeled skew shape posets and their 0-Hecke modules

Forum of Mathematics, Sigma
Assuming Stanley’s P-partitions conjecture holds, the regular Schur labeled skew shape posets are precisely the finite posets P with underlying set $\{1, 2, \ldots , |P|\}$ such that the P-partition generating function is symmetric and the set of ...
Young-Hun Kim, So-Yeon Lee, Young-Tak Oh
doaj   +1 more source

Generalized Stability of Heisenberg Coefficients [PDF]

, 2018
Stembridge introduced the notion of stability for Kronecker triples which generalize Murnaghan's classical stability result for Kronecker coefficients.
Ying, Li
core   +4 more sources