Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Boysal, Arzu"'
Autor:
Boysal, Arzu
For a complex simple Lie algebra $\mathfrak{g}$ or rank $r$, let $\rho$ be the half sum of positive roots and $P(2\rho)\subset \mathbb{R}^r$ be the convex hull of all dominant weights $\lambda$ of the form $\lambda=2\rho-\sum_{i=1}^r a_i\alpha_i$ wit
Externí odkaz:
http://arxiv.org/abs/2309.06890
Autor:
Boysal, Arzu
Given a complex simple Lie algebra $\mathfrak{g}$ and a positive integer $\ell$, under the assumption $\lambda\gg\mu$, we show that irreducible representations of $\mathfrak{g}$ of the form $V(\lambda +w\mu)$, $w\in W,$ with level at most $\ell$ appe
Externí odkaz:
http://arxiv.org/abs/2011.10986
The Laplacian matrix is of fundamental importance in the study of graphs, networks, random walks on lattices, and arithmetic of curves. In certain cases, the trace of its pseudoinverse appears as the only non-trivial term in computing some of the int
Externí odkaz:
http://arxiv.org/abs/2009.05364
Using Szenes formula for multiple Bernoulli series we explain how to compute Witten series associated to classical Lie algebras. Particular instances of these series compute volumes of moduli spaces of flat bundles over surfaces, and also certain mul
Externí odkaz:
http://arxiv.org/abs/1301.4127
Autor:
Boysal, Arzu, Vergne, Michele
Using multiple Bernoulli series, we give a formula in the spirit of Euler MacLaurin formula. We also give a wall crossing formula and a decomposition formula. The study of these series is motivated by formulae of E.Witten for volumes of moduli spaces
Externí odkaz:
http://arxiv.org/abs/1008.0263
Autor:
Boysal, Arzu, Pauly, Christian
The moduli stack M_X(E_8) of principal E_8-bundles over a smooth projective curve X carries a natural divisor Delta. We study the pull-back of the divisor Delta to the moduli stack M_X(P), where P is a semi-simple and simply connected group such that
Externí odkaz:
http://arxiv.org/abs/0904.0912
Autor:
Boysal, Arzu, Vergne, Michele
We give an elementary algebraic proof of Paradan's wall crossing formulae for partition functions. We also express such jumps in volume and partition functions by one dimensional residue formulae. Subsequently we reprove the relation between them as
Externí odkaz:
http://arxiv.org/abs/0803.2810
Autor:
Boysal, Arzu, Kumar, Shrawan
Let g be a semisimple Lie algebra over the complex numbers. Fix a positive integer l (called the level). Let R(l,g) be the fusion algebra at level l. Then, there is an algebra homomorphism from the representation ring R(g) of g to R(l,g). We study a
Externí odkaz:
http://arxiv.org/abs/0802.3035
Autor:
Boysal, Arzu
In this paper we study the sections of the canonical line bundle on the moduli space of parabolic semistable vector bundles with trivial determinant and fixed parabolic structure of type $\underline{\lambda}=(\lambda_1,..., \lambda_s)$ (with each wei
Externí odkaz:
http://arxiv.org/abs/math/0612022
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 July 2018 463(1):134-160
