Zobrazeno 1 - 10 of 81 pro vyhledávání: '"Vera Serganova"'
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CAPELLI OPERATORS FOR SPHERICAL SUPERHARMONICS AND THE DOUGALL–RAMANUJAN IDENTITY
Autor: Hadi Salmasian, Siddhartha Sahi, Vera Serganova
Publikováno v: Transformation Groups. 27:1475-1514
Let (V, ω) be an orthosymplectic ℤ2-graded vector space and let 𝔤:= 𝔤𝔬𝔰𝔭 (V, ω) denote the Lie superalgebra of similitudes of (V, ω). It is known that as a 𝔤-module, the space (V ) of superpolynomials on V is completely reducib
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8375939c03fdaf9231d5a4c0a61e8a50
https://doi.org/10.1007/s00031-021-09655-y
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3
Representations of principal W-algebra for the superalgebra Q(n) and the super Yangian YQ(1)
Autor: Elena Poletaeva, Vera Serganova
Publikováno v: Journal of Algebra. 570:140-163
We classify irreducible representations of finite W-algebra for the queer Lie superalgebra Q ( n ) associated with the principal nilpotent coadjoint orbits. We use this classification and our previous results to obtain a classification of irreducible
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60c4b4735f88a3283cc12e9071e2f36f
https://doi.org/10.1016/j.jalgebra.2020.12.001
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5
Large annihilator category O for sl(∞),o(∞),sp(∞)
Autor: Ivan Penkov, Vera Serganova
Publikováno v: Journal of Algebra. 532:152-182
We construct a new analogue of the BGG category O for the infinite-dimensional Lie algebras g = sl ( ∞ ) , o ( ∞ ) , sp ( ∞ ) . A main difference with the categories studied in [9] and [2] is that all objects of our category satisfy the large a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3f28db6e1d2376497ddb062136d75b34
https://doi.org/10.1016/j.jalgebra.2019.05.020
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8
Extension Quiver for Lie Superalgebra q(3)
Autor: Nikolay Grantcharov, Vera Serganova
Publikováno v: Symmetry, Integrability and Geometry: Methods and Applications.
We describe all blocks of the category of finite-dimensional $\mathfrak{q}(3)$-supermodules by providing their extension quivers. We also obtain two general results about the representation of $\mathfrak{q}(n)$: we show that the Ext quiver of the sta
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::981d2940c0a590eceec51ac333341f42
https://doi.org/10.3842/sigma.2020.141
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9
Representations of simple Jordan superalgebras
Autor: Iryna Kashuba, Vera Serganova
Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
This paper completes description of categories of representations of finite-dimensional simple unital Jordan superalgebras over algebraically closed field of characteristic zero.
to appear in Advances in Mathematics
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10
Integrable Modules Over Affine Lie Superalgebras $${\mathfrak{sl}(1|n)^{(1)}}$$
Autor: Vera Serganova, Maria Gorelik
Publikováno v: Communications in Mathematical Physics. 364:635-654
We describe the category of integrable $${\mathfrak{sl}(1|n)^{(1)}}$$ -modules with the positive level and show that the irreducible modules provide the full set of irreducible representations for the corresponding simple vertex algebra.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::aed3f3a580311303bca2b89f1ff2e076
https://doi.org/10.1007/s00220-018-3246-1
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