Results 71 to 80 of about 1,593,546 (194)
On the Cartan matrix of an artin algebra of global dimension two
Journal of Algebra, 1983 The purpose of this paper is to show that if n is an artin algebra of g!obal dimension (81 dim) 2, then the determinant of its Cartan matrix equals + I. This generalizes previous results of Donovan and Freislich [2], Igusa and Todorov ]4 ] and Wilson [5]. We recall that if n is an artin algebra (for instance, a finite-dimensional algebra over a field),
openaire +1 more source
Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley +1 more source
Root Systems and Cartan Matrices
, 1982 This paper is concerned with two things. The first is a (primarily) geometric axiomatic description for the systems of real roots of Lie algebras arising from (generalized) Cartan matrices.
T. Yokonuma, R. V. Moody
core +1 more source
String Functions for Affine Lie Algebras Integrable Modules
Symmetry, Integrability and Geometry: Methods and Applications, 2008 The recursion relations of branching coefficients kξ(μ) for a module Lg¯ hμ reduced to a Cartan subalgebra h are transformed in order to place the recursion shifts γ Î Γa Ì h into the fundamental Weyl chamber.
Petr Kulish, Vladimir Lyakhovsky
doaj +1 more source
Quantum Regge Calculus of Einstein–Cartan theory [PDF]
, 2009 We study the Quantum Regge Calculus of Einstein–Cartan theory to describe quantum dynamics of Euclidean space–time discretized as a 4-simplices complex. Tetrad field eμ(x) and spin-connection field ωμ(x) are assigned to each 1-simplex.
Xue, She-Sheng
core +1 more source
M-MATRIX-WP6.M1 - "DASHBOARDS OPERATIONAL WITHIN THE PILOT PARTICIPATING AGENCIES"
, 2022 M-MATRIX-WP6.M1 - “Dashboards operational within the pilot participating agencies” Milestone report for M1 of MATRIX ...
MATRIX
core +1 more source
Towards the τ-function of the quantum groups
Physics Letters BThe theory of τ-functions is receiving attention, due to their appearance as non-perturbative partition functions of certain quantum field theories. These τ−functions satisfy Hirota’s bilinear identities (BI).
M. Chepurnoi, M. Sharov
doaj +1 more source
Nuclear Physics BIn this work, we construct a BRST-exact quartet mechanism in SU (3) Yang-Mills theory in the Landau gauge. The quartet sector is cohomologically trivial in the standard vacuum, ensuring equivalence to pure Yang-Mills theory.
M.M. Amaral, V.E.R. Lemes
doaj +1 more source
Singular Hochschild complex and Cartan matrix
11 ...
Wang, Yu, Liang, Xiaozhuan
openaire +2 more sources