Zobrazeno 1 - 10
of 106
pro vyhledávání: '"Yamada, Hiro"'
Publikováno v:
SIGMA 17 (2021), 089, 12 pages
A formula for Schur $Q$-functions is presented which describes the action of the Virasoro operators. For a strict partition, we prove a concise formula for $L_{-k}Q_{\lambda}$, where $L_{-k}$ $(k\geq 1)$ is the Virasoro operator.
Externí odkaz:
http://arxiv.org/abs/2106.04773
Autor:
Mizukawa, Hiroshi, Yamada, Hiro-Fumi
Extending the notion of $r$-(class) regular partitions, we define $(r_{1},...,r_{m})$-class regular partitions. A partition identity is presented and described by making use of the Glaisher correspondence.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
http://arxiv.org/abs/1408.4866
A Lie theoretic interpretation is given for some formulas of Schur functions and Schur $Q$-functions. Two realizations of the basic representation of the Lie algebra $A^{(2)}_2$ are considered; one is on the fermionic Fock space and the other is on t
Externí odkaz:
http://arxiv.org/abs/1305.1394
Autor:
Kabakci, Zeynep1 (AUTHOR), Yamada, Hiro1 (AUTHOR), Vernizzi, Luisa1 (AUTHOR), Gupta, Samir1 (AUTHOR), Weber, Joe1 (AUTHOR), Sun, Michael Shoujie1 (AUTHOR), Lehner, Christian F.1 (AUTHOR) christian.lehner@imls.uzh.ch
Publikováno v:
PLoS Genetics. 10/17/2022, Vol. 18 Issue 10, p1-43. 43p.
A $q$-analogue of combinatorics concerning the Cartan matrix for the Iwahori-Hecke algebra of type $A$ is investigated. We give several descriptions for the determinant of the graded Cartan matrix, which imply some combinatorial identities. A conject
Externí odkaz:
http://arxiv.org/abs/1005.1134
A new basis for the polynomial ring of infinitely many variables is constructed which consists of products of Schur functions and Q-functions. The transition matrix from the natural Schur function basis is investigated.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/0801.2818
The aim of this note is to introduce a compound basis for the space of symmetric functions. Our basis consists of products of Schur functions and $Q$-functions. The basis elements are indexed by the partitions. It is well known that the Schur functio
Externí odkaz:
http://arxiv.org/abs/0705.2932
Formulas are obtained that express the Schur S-functions indexed by Young diagrams of rectangular shape as linear combinations of "mixed" products of Schur's S- and Q-functions. The proof is achieved by using representations of the affine Lie algebra
Externí odkaz:
http://arxiv.org/abs/math/0512257
Autor:
Uno, Katsuhiro, Yamada, Hiro-Fumi
The purpose of this paper is to give a simple expression of the elementary divisors of the cartan matrices for the symmetric groups.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/math/0510060
Autor:
Mizukawa, Hiroshi, Yamada, Hiro-Fumi
An expression is given for the plethysm $p_{2}\circ S_{\square}$, where $p_{2}$ is the power sum of degree two and $S_{\square}$ is the Schur function indexed by a rectangular partition. The formula can be well understood from the viewpoint of the ba
Externí odkaz:
http://arxiv.org/abs/math/0206225