Results 11 to 20 of about 229,327 (286)
An application of TQFT to modular representation theory [PDF]
Inventiones mathematicae, 2017 For p>3 a prime, and g>2 an integer, we use Topological Quantum Field Theory (TQFT) to study a family of p-1 highest weight modules L_p(lambda) for the symplectic group Sp(2g,K) where K is an algebraically closed field of characteristic p. This permits explicit formulae for the dimension and the formal character of L_p(lambda) for these highest ...
Gilmer, Patrick M., Masbaum, Gregor
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Modular Representation Theory of Symmetric Groups [PDF]
, 2014 We review some recent advances in modular representation theory of symmetric groups and related Hecke algebras. We discuss connections with Khovanov-Lauda-Rouquier algebras and gradings on the blocks of the group algebras $F _n$, which these connections reveal; graded categorification and connections with quantum groups and crystal bases; modular ...
Kleshchev, Alexander
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The Picard group of an order and Külshammer reduction [PDF]
, 2020 Let (K, O, k) be a p-modular system and assume k is algebraically closed. We show that if Λ is an O-order in a separable K-algebra, then PicO(Λ) carries the structure of an algebraic group over k. As an application to the modular representation theory of
Eisele, F.
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Representation theory and cohomology of Khovanov-Lauda-Rouquier algebras [PDF]
, 2014 This expository paper is based on the lectures given at the program `Modular Representation Theory of Finite and $p$-adic Groups' at the National University of Singapore. We are concerned with recent results on representation theory and cohomology of KLR
Kleshchev, Alexander S.
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Ghosts in modular representation theory
Advances in Mathematics, 2008 15 pages, final version, to appear in Advances in Mathematics.
Chebolu, Sunil K. +2 more
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ON THE TRANSFORMATION OF REPRESENTATION OF NUMBERS IN THE RESIDUO FROM ONE MODULE SYSTEM TO ANOTHER
Nauka ta progres transportu, 2016 Purpose. The purpose of this work is the theoretical foundation of one of the approaches to improve the effectiveness of the number system in nonpositional residual classes non-modular, so-called complex operation, the realization of which requires ...
Yu. D. Polissky
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Solvable groups and modular representation theory [PDF]
Transactions of the American Mathematical Society, 1962 In [4] the representation theory of finite solvable groups was studied, and under the assumption of solvability, it was shown that several conjectures of R. Brauer arising from modular representation theory were true. These conjectures are presumably true without the assumption of solvability.
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Generalized entanglement entropy, charges, and intertwiners
Journal of High Energy Physics, 2020 The entanglement theory in quantum systems with internal symmetries is rich due to the spontaneous creation of entangled pairs of charge/anti-charge particles at the entangling surface.
Keiichiro Furuya +2 more
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Adjoint SU(5) GUT model with modular S 4 symmetry
Journal of High Energy Physics, 2021 We study the textures of SM fermion mass matrices and their mixings in a supersymmetric adjoint SU(5) Grand Unified Theory with modular S 4 being the horizontal symmetry.
Ya Zhao, Hong-Hao Zhang
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Blob algebra approach to modular representation theory [PDF]
Proceedings of the London Mathematical Society, 2020 Two decades ago P. Martin and D. Woodcock made a surprising and prophetic link between statistical mechanics and representation theory. They observed that the decomposition numbers of the blob algebra (that appeared in the context of transfer matrix algebras) are Kazhdan-Lusztig polynomials in type $\tilde{A}_1$.
Libedinsky, N, Plaza, D
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