Results 81 to 90 of about 405 (171)

An algebraic slice in the coadjoint space of the Borel and the Coxeter element

open access: yes, 2011
Let g be a complex simple Lie algebra and b a Borel subalgebra. The algebra Y of polynomial semi-invariants on the dual b⁎ of b is a polynomial algebra on rank g generators (Grothendieck and Dieudonné (1965–1967)) [16].
Anthony Joseph, Joseph, Anthony
core   +1 more source

Cluster algebras and category O for representations of Borel subalgebras of quantum affine algebras

open access: yes, 2016
35 pages. v2 : Section 7.4 addedInternational audienceLet $\mathcal{O}$ be the category of representations of the Borel subalgebra of a quantum affine algebra introduced by Jimbo and the first author.
Hernandez, David, Leclerc, Bernard
core   +1 more source

Causality in Schwinger's Picture of Quantum Mechanics. [PDF]

open access: yesEntropy (Basel), 2022
Ciaglia FM   +5 more
europepmc   +1 more source

Integrable Representations for Equivariant Map Algebras Associated with Borel-de Siebenthal Pairs [PDF]

open access: yes, 2017
Borel and de-Siebenthal classified the maximal connected subgroups of maximal rankof a connected compact Lie group. This result can be rephrased in terms of automorphisms of thesemisimple Lie algebra and the subalgebra of fixed points.
O'Dell, Matthew Tyler
core  

On quantum shuffle and quantum affine algebras

open access: yes, 2007
A construction of the quantum affine algebra Uq(gˆ) is given in two steps. We explain how to obtain the algebra from its positive Borel subalgebra Uq(b+), using a construction similar to Drinfeld's quantum double.
Grossé, P.
core   +1 more source

Borel-de Siebenthal Positive Root Systems

open access: yes, 2023
Let G be a connected simple Lie group with finite centre, K be a maximal compact subgroup of G, and rank(G)= rank(K). Let \frak{g}_0=Lie(G), \frak{k}_0=Lie(K) \subset \frak{g}_0, \frak{t}_0 be a maximal abelian subalgebra of \frak{k}_0, \frak{g}=\frak{g ...
Paul, Pampa
core  

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