Zobrazeno 1 - 10
of 362
pro vyhledávání: '"King, R. C."'
Littlewood-Richardson (LR) coefficients $c_{\mu\nu}^\lambda$ may be evaluated by means of several combinatorial models, including the original LR tableaux of skew shape $\lambda/\mu$ and weight $\nu$ and the LR hives with boundary edge labels $\lambd
Externí odkaz:
http://arxiv.org/abs/1603.05037
Publikováno v:
J.Phys.A39:5763-5786,2006
An explicit construction of all finite-dimensional irreducible representations of the Lie superalgebra gl(1|n) in a Gel'fand-Zetlin basis is given. Particular attention is paid to the so-called star type I representations (``unitary representations''
Externí odkaz:
http://arxiv.org/abs/hep-th/0602169
Autor:
Hamel, A. M., King, R. C.
We give a bijective proof of an identity relating primed shifted gl(n)-standard tableaux to the product of a gl(n) character in the form of a Schur function and a product of sums of x and y terms. This result generalises a number of well--known resul
Externí odkaz:
http://arxiv.org/abs/math/0507479
Publikováno v:
J. Phys. A: Math. Gen. 39 (2006) 2611-2655
We derive group branching laws for formal characters of subgroups $H_\pi$ of GL(n) leaving invariant an arbitrary tensor $T^\pi$ of Young symmetry type $\pi$ where $\pi$ is an integer partition. The branchings $GL(n)\downarrow GL(n-1)$, $GL(n)\downar
Externí odkaz:
http://arxiv.org/abs/math-ph/0505037
Autor:
Hamel, A. M., King, R. C.
Alternating sign matrices with a U-turn boundary (UASMs) are a recent generalization of ordinary alternating sign matrices. Here we show that variations of these matrices are in bijective correspondence with certain symplectic shifted tableaux that w
Externí odkaz:
http://arxiv.org/abs/math/0312169
Publikováno v:
J.Phys.A36:11999-12019,2003
An n-particle 3-dimensional Wigner quantum oscillator model is constructed explicitly. It is non-canonical in that the usual coordinate and linear momentum commutation relations are abandoned in favour of Wigner's suggestion that Hamilton's equations
Externí odkaz:
http://arxiv.org/abs/hep-th/0310016
Publikováno v:
J.Phys.A36:4337-4362,2003
The properties of a non-canonical 3D Wigner quantum oscillator, whose position and momentum operators generate the Lie superalgebra sl(1|3), are further investigated. Within each state space W(p), p=1,2,..., the energy E_q, q=0,1,2,3, takes no more t
Externí odkaz:
http://arxiv.org/abs/hep-th/0304136
The properties of a noncanonical 3D Wigner quantum oscillator, whose position and momentum operators generate the Lie superalgebra sl(1|3), are further investigated. Within each state space W(p), p=1,2,..., the energy E_q, q=0,1,2,3, takes no more th
Externí odkaz:
http://arxiv.org/abs/hep-th/0210164
To study finite-dimensional modules of the Lie superalgebras, Kac introduced the Kac-modules and divided them into typical or atypical modules according as they are simple or not. For Lambda being atypical, Hughes et al have an algorithm to determine
Externí odkaz:
http://arxiv.org/abs/math/9907040
Publikováno v:
ETSU Faculty Works.
A small proportion of ovarian chambers from females homozygous for the otu7 (for ovarian tumor) mutation contain an "oocyte" that in its nuclear morphology resembles a nurse cell. Such transformed oocytes also appear in colchicine-poisoned wild type
Externí odkaz:
https://dc.etsu.edu/etsu-works/13058
