Results 31 to 40 of about 1,578,942 (334)

Primitive ideals, twisting functors and star actions for classical Lie superalgebras [PDF]

, 2016
We study three related topics in representation theory of classical Lie superalgebras. The first one is classification of primitive ideals, i.e. annihilator ideals of simple modules, and inclusions between them.
Coulembier, Kevin, Mazorchuk, Volodymyr
core   +1 more source

Cartan subalgebras of root-reductive Lie algebras [PDF]

, 2006
Root-reductive Lie algebras are direct limits of finite-dimensional reductive Lie algebras under injections which preserve the root spaces. It is known that a root-reductive Lie algebra is a split extension of an abelian Lie algebra by a direct sum of ...
Bahturin, Bahturin, Baranov, Baranov, Baranov, Bourbaki, Dimitrov, Elizabeth Dan-Cohen, Ivan Penkov, Mackey, Neeb, Noah Snyder   +11 more
core   +3 more sources

Poisson-Lie Group structures on semidirect products [PDF]

arXiv, 2022
We look at the Poisson structure on the total space of the dual bundle to the Lie algebroid arising from a matched pair of Lie groups. This dual bundle, with the natural semidirect product group structure, becomes a Poisson-Lie group as suggested by a recent work of Stachura. Moreover, when we start from matched pairs given by the Iwasawa decomposition
arxiv  

An Invitation to Higher Gauge Theory [PDF]

, 2010
In this easy introduction to higher gauge theory, we describe parallel transport for particles and strings in terms of 2-connections on 2-bundles. Just as ordinary gauge theory involves a gauge group, this generalization involves a gauge '2-group'.
A. Ashtekar, A. Baratin, A. Baratin, A. Pressley, A.J. Power, A.L. Carey, A.P. Balachandran, B. Eckmann, C. DeWitt-Morette, D.S. Freed, E. Witten, F. Girelli, F. Girelli, H. Pfeiffer, H. Weyl, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Elgueta, J. Lewandowski, J.-L. Brylinski, J.-L. Brylinski, J.-L. Brylinski, J.H.C. Whitehead, J.H.C. Whitehead, J.W. Barrett, John C. Baez, John Huerta, K. Gawedzki, K. Gawedzki, L. Breen, L. Breen, L. Castellani, L. Crane, L. Crane, L. Freidel, M. Johnson, M. Mackaay, M. Montesinos, M. Schlessinger, M.K. Murray, M.K. Murray, P. Aschieri, P. Aschieri, S. Mac Lane, S. Stolz, T. DeDonder, U. Schreiber, V. Guillemin, W. Fairbairn   +58 more
core   +5 more sources

ON CUBATURE RULES ASSOCIATED TO WEYL GROUP ORBIT FUNCTIONS

Acta Polytechnica, 2016
The aim of this article is to describe several cubature formulas related to the Weyl group orbit functions, i.e. to the special cases of the Jacobi polynomials associated to root systems.
Lenka Háková, Jiří Hrivnák, Lenka Motlochová   +2 more
doaj   +1 more source

Distinguished orbits and the L-S category of simply connected compact Lie groups [PDF]

, 2009
We show that the Lusternik-Schnirelmann category of a simple, simply connected, compact Lie group G is bounded above by the sum of the relative categories of certain distinguished conjugacy classes in G corresponding to the vertices of the fundamental ...
Hunziker, Markus, Sepanski, Mark R.
core   +3 more sources

Hurwitz components of groups with socle PSL(3, q)

Extracta Mathematicae, 2021
For a finite group G, the Hurwitz space Hinr,g(G) is the space of genus g covers of the Riemann sphere P1 with r branch points and the monodromy group G. In this paper, we give a complete list of some almost simple groups of Lie rank two.
H.M. Mohammed Salih
doaj  

The Largest Volume Conjugacy Class in Most Compact Simple Lie Groups [PDF]

arXiv, 2021
We provide some details about the largest volume conjugacy class in compact simple Lie groups of types An, Bn, Cn, Dn, and G2.
arxiv  

Multiple Hamiltonian structure of Bogoyavlensky-Toda lattices

, 2006
This paper is mainly a review of the multi--Hamiltonian nature of Toda and generalized Toda lattices corresponding to the classical simple Lie groups but it includes also some new results.
Collingwood D. H., Damianou P. A., Ibragimov N. H., Koszul J. L., Kupershmidt B., Lichnerowicz A., Manakov S., Moser J., Oevel W., Ovsiannikov L. V., PANTELIS A. DAMIANOU, Smirnov R. G., Weinstein A.   +12 more
core   +1 more source

The topology of a semisimple Lie group is essentially unique [PDF]

, 2011
We study locally compact group topologies on semisimple Lie groups. We show that the Lie group topology on such a group $S$ is very rigid: every 'abstract' isomorphism between $S$ and a locally compact and $\sigma$-compact group $\Gamma$ is automatically
Kramer, Linus
core   +2 more sources