Results 21 to 30 of about 13,441 (193)

Explicit construction of mock modular forms from weakly holomorphic Hecke eigenforms

Open Mathematics, 2022
Extending our previous work we construct weakly holomorphic Hecke eigenforms whose period polynomials correspond to elements in a basis consisting of odd and even Hecke eigenpolynomials induced by only cusp forms.
Choi SoYoung, Kim Chang Heon
doaj   +1 more source

Conditional expectations, traces, angles between spaces and Representations of the Hecke algebras [PDF]

, 2013
In this paper we extend the results in [Ra] on the representation of the Hecke algebra, determined by the matrix coefficients of a projective, unitary representation, in the discrete series of representations of the ambient group, to a more general ...
Radulescu, Florin
core   +2 more sources

Inverse K-Chevalley formulas for semi-infinite flag manifolds, I: minuscule weights in ADE type

Forum of Mathematics, Sigma, 2021
We prove an explicit inverse Chevalley formula in the equivariant K-theory of semi-infinite flag manifolds of simply laced type. By an ‘inverse Chevalley formula’ we mean a formula for the product of an equivariant scalar with a Schubert class, expressed
Takafumi Kouno, Satoshi Naito, Daniel Orr, Daisuke Sagaki   +3 more
doaj   +1 more source

Free fermion cyclic/symmetric orbifold CFTs and entanglement entropy

Journal of High Energy Physics, 2022
In this paper we study the properties of two-dimensional CFTs defined by cyclic and symmetric orbifolds of free Dirac fermions, especially by focusing on the partition function and entanglement entropy.
Tadashi Takayanagi, Takashi Tsuda
doaj   +1 more source

UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ARISING FROM HILBERT MODULAR SURFACES

Forum of Mathematics, Sigma, 2017
Let $p$ be a prime number and $F$ a totally real number ...
MATTHEW EMERTON, DAVIDE REDUZZI, LIANG XIAO   +2 more
doaj   +1 more source

Applications of Automata and Graphs: Labeling-Operators in Hilbert Space I [PDF]

, 2008
We show that certain representations of graphs by operators on Hilbert space have uses in signal processing and in symbolic dynamics. Our main result is that graphs built on automata have fractal characteristics.
Fannes M., Gibbons A., Gill A., Hopcroft J. E., Ilwoo Cho, Kadison R. V., Marshall C. W., Palle E. T. Jorgensen, Scapellato R., Schiff J. L., Speicher R., Voiculescu D.   +11 more
core   +2 more sources

Certain group dynamical systems induced by Hecke algebras [PDF]

Opuscula Mathematica, 2016
In this paper, we study dynamical systems induced by a certain group \(\mathfrak{T}_{N}^{K}\) embedded in the Hecke algebra \(\mathcal{H}(G_{p})\) induced by the generalized linear group \(G_{p} = GL_{2}(\mathbb{Q}_{p})\) over the \(p\)-adic number ...
Ilwoo Cho
doaj   +1 more source

AdS3/RMT2 duality

Journal of High Energy Physics, 2023
We introduce a framework for quantifying random matrix behavior of 2d CFTs and AdS3 quantum gravity. We present a 2d CFT trace formula, precisely analogous to the Gutzwiller trace formula for chaotic quantum systems, which originates from the SL(2, ℤ ...
Gabriele Di Ubaldo, Eric Perlmutter
doaj   +1 more source

Diagonal Coinvariants and Double Affine Hecke Algebras [PDF]

, 2003
We establish a q-generalization of Gordon's theorem that the space of diagonal coinvariants has a quotient identified with a perfect representation of the rational double affine Hecke algebra.
Cherednik, Ivan
core   +3 more sources

Eichler–Selberg relations for singular moduli

Forum of Mathematics, Sigma
The Eichler–Selberg trace formula expresses the trace of Hecke operators on spaces of cusp forms as weighted sums of Hurwitz–Kronecker class numbers. We extend this formula to a natural class of relations for traces of singular moduli, where one views ...
Yuqi Deng, Toshiki Matsusaka, Ken Ono
doaj   +1 more source