Results 11 to 20 of about 13,441 (193)
Strings, symmetric products, TT¯ deformations and Hecke operators
Physics Letters B, 2020 We derive a formula for the torus partition sum of the symmetric product of TT¯ deformed CFT's, using previous work on long strings in (deformed) AdS3, and universality. The result is given by an integral transform of the partition function for the block
Akikazu Hashimoto, David Kutasov
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A representation-theoretic proof of the branching rule for Macdonald polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We give a new representation-theoretic proof of the branching rule for Macdonald polynomials using the Etingof-Kirillov Jr. expression for Macdonald polynomials as traces of intertwiners of $U_q(gl_n)$. In the Gelfand-Tsetlin basis, we show that diagonal
Yi Sun
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Hecke Operators on Vector-Valued Modular Forms [PDF]
, 2019 We study Hecke operators on vector-valued modular forms for the Weil representation $\rho_L$ of a lattice $L$. We first construct Hecke operators $\mathcal{T}_r$ that map vector-valued modular forms of type $\rho_L$ into vector-valued modular forms of ...
Bouchard, Vincent +2 more
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TORSION GALOIS REPRESENTATIONS OVER CM FIELDS AND HECKE ALGEBRAS IN THE DERIVED CATEGORY
Forum of Mathematics, Sigma, 2016 We construct algebras of endomorphisms in the derived category of the cohomology of arithmetic manifolds, which are generated by Hecke operators. We construct Galois representations with coefficients in these Hecke algebras and apply this technique to ...
JAMES NEWTON, JACK A. THORNE
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Three dimensional pure gravity and generalized Hecke operators
Journal of High Energy Physics, 2020 In this paper, we study mathematical functions of relevance to pure gravity in AdS3. Modular covariance places stringent constraints on the space of such functions; modular invariance places even stronger constraints on how they may be combined into ...
M. Ashrafi
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A note on discrete dynamical systems in theories of class S
Journal of High Energy Physics, 2021 In this note we consider the set of line operators in theories of class S. We show that this set carries the action of a natural discrete dynamical system associated with the BPS spectrum. We discuss several applications of this perspective; the relation
Michele Cirafici
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Distance regularity in buildings and structure constants in Hecke algebras [PDF]
, 2017 In this paper we define generalised spheres in buildings using the simplicial structure and Weyl distance in the building, and we derive an explicit formula for the cardinality of these spheres.
Abramenko, Peter +2 more
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(2+)-replication and the Baby Monster [PDF]
, 2017 The definitions of replicable and completely replicable functions are intimately related to the Hecke operators for the modular group. We define the notions of "$(2+)$-replicable" and "completely $(2+)$-replicable" functions by considering the Hecke ...
Cummins, Chris, Matias, Rodrigo
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Hecke eigenvalues and relations for Siegel Eisenstein series of arbitrary degree, level, and character [PDF]
, 2016 We evaluate the action of Hecke operators on Siegel Eisenstein series of arbitrary degree, level and character. For square-free level, we simultaneously diagonalise the space with respect to all the Hecke operators, computing the eigenvalues explicitly ...
Walling, Lynne H.
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Baxter Operator and Archimedean Hecke Algebra [PDF]
Communications in Mathematical Physics, 2008 In this paper we introduce Baxter integral Q-operators for finite-dimensional Lie algebras gl(n+1) and so(2n+1). Whittaker functions corresponding to these algebras are eigenfunctions of the Q-operators with the eigenvalues expressed in terms of Gamma-functions.
Gerasimov, A., Lebedev, D., Oblezin, S.
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