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pro vyhledávání: '"Bruce W. Westbury"'
Autor:
Martin Rubey, Bruce W. Westbury
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 27th..., Iss Proceedings (2015)
An important problem from invariant theory is to describe the subspace of a tensor power of a representation invariant under the action of the group. According to Weyl's classic, the first main (later: 'fundamental') theorem of invariant theory state
Externí odkaz:
https://doaj.org/article/e393d528f45542f89b7ccd45796bbce0
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AS,..., Iss Proceedings (2013)
The descent set of an oscillating (or up-down) tableau is introduced. This descent set plays the same role in the representation theory of the symplectic groups as the descent set of a standard tableau plays in the representation theory of the genera
Externí odkaz:
https://doaj.org/article/37e14d0a972347b5a7634cd67c023d8f
Using Henriques' and Kamnitzer's cactus groups, Schutzenberger's promotion and evacuation operators on standard Young tableaux can be generalised in a very natural way to operators acting on highest weight words in tensor products of crystals. For th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8bc855abc356a992a3e7fbe5854bb594
http://arxiv.org/abs/1804.06736
http://arxiv.org/abs/1804.06736
Autor:
Bruce W. Westbury
First we develop the theory of local rules for coboundary categories. Then we describe the local rules in two main cases. First for the quantum groups in general and in the seminormal representations of the Hecke algebras. Then for crystals in genera
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d328458fb78e49e17e54ebffbdf853ea
Autor:
Bruce W. Westbury
Publikováno v:
The Electronic Journal of Combinatorics. 23
We construct a large class of examples of the cyclic sieving phenomenon by exploiting the representation theory of semi-simple Lie algebras. Let $M$ be a finite dimensional representation of a semi-simple Lie algebra and let $B$ be the associated Kas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd0a878df6975ab042b9b2ea990f169c
https://doi.org/10.37236/4569
https://doi.org/10.37236/4569
Autor:
Bruce W. Westbury
Publikováno v:
Journal of Algebra. 321:3563-3567
Let U be the quantised enveloping algebra associated to a Cartan matrix of finite type. Let W be the tensor product of a finite list of highest weight representations of U. Then the centraliser algebra of W has a basis called the dual canonical basis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd6bd0e981ea97f2ee58fd3a4353275e
https://doi.org/10.1016/j.jalgebra.2008.07.004
https://doi.org/10.1016/j.jalgebra.2008.07.004
Autor:
Bruce W. Westbury
Publikováno v:
Journal of Physics A: Mathematical and General. 38:L31-L34
This letter gives the calculation of a trigonometric R-matrix for the twisted affine quantum group of type D(3)4.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7181ee4e124e073f89e87fe8f4ae770d
https://doi.org/10.1088/0305-4470/38/2/l02
https://doi.org/10.1088/0305-4470/38/2/l02
Autor:
Bruce W. Westbury
Publikováno v:
International Journal of Modern Physics A. 18:49-82
In this paper we first give three known examples of strict pivotal categories defined by a finite presentation. Then in the final section we give some of the relations for a conjectural strict pivotal category. If this category can be constructed it
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a1e9dc0faee5ec077fa0183b3aa283bc
https://doi.org/10.1142/s0217751x03017968
https://doi.org/10.1142/s0217751x03017968
Autor:
Bruce W. Westbury, Martin Rubey
Publikováno v:
Discrete Mathematics and Theoretical Computer Science
27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015), Jul 2015, Daejeon, South Korea. pp.285-296
27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015), Jul 2015, Daejeon, South Korea. pp.285-296
An important problem from invariant theory is to describe the subspace of a tensor power of a representation invariant under the action of the group. According to Weyl's classic, the first main (later: 'fundamental') theorem of invariant theory state
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6af0880eb88967960cf45b60551f3bf5
https://doi.org/10.46298/dmtcs.2508
https://doi.org/10.46298/dmtcs.2508
Autor:
Bruce W. Westbury, John W. Barrett
Publikováno v:
Advances in Mathematics. 143(2):357-375
This paper is a study of monoidal categories with duals where the tensor product need not be commutative. The motivating examples are categories of representations of Hopf algebras and the motivating application is the definition of 6j-symbols as use
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d1edfd0bb29189124c53313a630b2a1