Results 61 to 70 of about 261 (163)

Maximal abelian diagonalizable groups and fine gradings on simple Lie algebras

open access: yes, 2015
The oldest and best known grading on a (semisimple) Lie algebra is the root space decomposition with respect to a maximal torus. This is a grading by a free abelian group (the root lattice) and it is \emph{fine} in the sense that it cannot be refined. In
Draper-Fontanals, Cristina
core  

Hodge Representations and Hodge Domains

open access: yes, 2012
This chapter deals with Hodge representations and Hodge domains. For general polarized Hodge structures, it considers which semi-simple ℚ-algebraic groups M can be Mumford-Tate groups of polarized Hodge structures, the different realizations of M as a ...
Matt Kerr, Mark Green, Phillip Griffiths
core   +1 more source

Graded hypoellipticity of BGG sequences. [PDF]

open access: yesAnn Glob Anal Geom (Dordr), 2022
Dave S, Haller S.
europepmc   +1 more source

K-theory, fixed point theorem and representation of semisimple Lie groups

open access: yes, 2018
K-theory of reduced group $C^*$-algebras and their trace maps can be used to study tempered representations of a semisimple Lie group from the point of view of index theory.
Wang, Hang
core  

Definite orthogonal modular forms: computations, excursions, and discoveries. [PDF]

open access: yesRes Number Theory, 2022
Assaf E   +5 more
europepmc   +1 more source

Exotic components of SO(p,q) surface group representations, and their Higgs bundle avatars

open access: yes, 2018
For semisimple Lie groups, moduli spaces of Higgs bundles on a Riemann surface correspond to representation varieties for the surface fundamental group.
Bradlow, Steven   +5 more
core  

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