Twisted Chiral Algebras of Class S and Mixed Feigin-Frenkel Gluing. [PDF]
Beem C, Nair S.
europepmc +1 more source
Maximal abelian diagonalizable groups and fine gradings on simple Lie algebras
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
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]
Dave S, Haller S.
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Representations of Semisimple Lie Groups on a Ba Nach Space [PDF]
openaire +3 more sources
K-theory, fixed point theorem and representation of semisimple Lie groups
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]
Assaf E +5 more
europepmc +1 more source
On the consistency of a class of R-symmetry gauged 6D N = (1,0) supergravities. [PDF]
Pang Y, Sezgin E.
europepmc +1 more source
Exotic components of SO(p,q) surface group representations, and their Higgs bundle avatars
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
Lie Group Statistics and Lie Group Machine Learning Based on Souriau Lie Groups Thermodynamics & Koszul-Souriau-Fisher Metric: New Entropy Definition as Generalized Casimir Invariant Function in Coadjoint Representation. [PDF]
Barbaresco F.
europepmc +1 more source

