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pro vyhledávání: '"Kieran Calvert"'
Autor:
Kieran Calvert
Publikováno v:
Calvert, K 2022, ' Compact Schur-Weyl duality and the Type B/C VW-algebra ', Advances in Mathematics, vol. 407, 108575 . https://doi.org/10.1016/j.aim.2022.108575
In this paper, we study a compact analogue of Schur-Weyl duality for real orthogonal and symplectic groups. We analyse the functors Fμ,k defined in [12], and introduce a new algebra Bkθ. This algebra's finite dimensional modules are naturally a co-
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38ea924bf57d2c0a61de9a78f2dabd7a
https://www.research.manchester.ac.uk/portal/en/publications/compact-schurweyl-duality-and-the-type-bc-vwalgebra(88370dc1-d059-4b0f-8c0d-a04d38dae844).html
https://www.research.manchester.ac.uk/portal/en/publications/compact-schurweyl-duality-and-the-type-bc-vwalgebra(88370dc1-d059-4b0f-8c0d-a04d38dae844).html
Autor:
Kieran Calvert
Publikováno v:
Calvert, K 2019, ' Dirac cohomology of the Dunkl-Opdam subalgebra via inherited Drinfeld properties ', Comm. Algebra, vol. 48, no. 4, pp. 1476-1498 . https://doi.org/10.1080/00927872.2019.1691567
In this paper, we define a new presentation for the Dunkl-Opdam subalgebra of the rational Cherednik algebra. This presentation uncovers the Dunkl-Opdam subalgebra as a Drinfeld algebra. We use this fact to define Dirac cohomology for the DO subalgeb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::127478a32d2cc63f7a2e0e77143f600a
https://doi.org/10.1080/00927872.2019.1691567
https://doi.org/10.1080/00927872.2019.1691567
Autor:
Kieran Calvert
We derive an explicit description of the genuine projective representations of the symmetric group Sn using Dirac cohomology and the branching graph for the irreducible genuine projective representations of Sn. Ciubotaru and He [D. Ciubotaru and X. H
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96b4debdf982710ecbd4bfa3ece7aae6