Results 71 to 80 of about 34,464 (177)

Relational Supersymmetry via the Dressing Field Method and Matter‐Interaction Supergeometric Framework

Annalen der Physik, Volume 537, Issue 9, September 2025.
Applications of the Dressing Field Method are reviewed and further expanded to the very foundations of the supersymmetric framework, where it allows to build relational supersymmetric field theory. Furthermore, a novel approach is proposed giving a unified description of fermionic matter fields and bosonic gauge fields: a Matter‐Interaction ...
Jordan François, L. Ravera
wiley   +1 more source

Functorial constructions related to double Poisson vertex algebras

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract For any double Poisson algebra, we produce a double Poisson vertex algebra using the jet algebra construction. We show that this construction is compatible with the representation functor which associates to any double Poisson (vertex) algebra and any positive integer a Poisson (vertex) algebra.
Tristan Bozec, Maxime Fairon, Anne Moreau   +2 more
wiley   +1 more source

Jensen's inequality for conditional expectations

, 2005
We study conditional expectations generated by an abelian $ C^* $-subalgebra in the centralizer of a positive functional. We formulate and prove Jensen's inequality for functions of several variables with respect to this type of conditional expectations,
Hansen, Frank
core   +2 more sources

Abelian ideals of Borel subalgebras and affine Weyl groups

Advances in Mathematics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PAPI, Paolo, Paola Cellini
openaire   +3 more sources

Abelian ideals and the variety of Lagrangian subalgebras

Journal of Pure and Applied Algebra
For a semisimple algebraic group $G$ of adjoint type with Lie algebra $\mathfrak g$ over the complex numbers, we establish a bijection between the set of closed orbits of the group $G \ltimes \mathfrak g^{\ast}$ acting on the variety of Lagrangian subalgebras of $\mathfrak g \ltimes \mathfrak g^{\ast}$ and the set of abelian ideals of a fixed Borel ...
Sam Evens, Yu Li
openaire   +3 more sources

Symmetries of abelian ideals of Borel subalgebras

, 2013
Elaborating on a paper by Suter, we provide a detailed description of the automorphism group of the poset of abelian ideals in a Borel subalgebra of a finite dimensional complex simple Lie algebra.
Cellini, Paola, Frajria, Pierluigi Moseneder, Papi, Paolo   +2 more
openaire   +2 more sources

Maximal abelian subalgebras in finite factors of type II [PDF]

Transactions of the American Mathematical Society, 1965
1. Introduction. The general study of algebras of operators on Hilbert space has led to the investigation of rings of operators, also called W*algebras or von Neumann algebras. These are self-adjoint, weakly closed algebras of operators which contain the identity. If the center of a ring (center in the algebraic sense) consists only of scalar multiples
openaire   +2 more sources

Abelian Ideals of a Borel Subalgebra and Root Systems, II [PDF]

Algebras and Representation Theory, 2019
12 ...
openaire   +3 more sources

Computational Algorithm For Obtaining Abelian Subalgebras In Lie Algebras

, 2009
{"references": ["J.C. Benjumea, F.J. Echarte, J. N'u\u2566\u00a3nez and A.F. Tenorio, \"An Obstruction\nto Represent Abelian Lie Algebras by Unipotent Matrices,\" Extracta\nMath., vol. 19, pp. 269-277, 2004.", "J.C. Benjumea, J. N'u\u2566\u00a3nez and A.F.
Ceballos González, Manuel, Núñez Valdés, Juan, Tenorio Villalón, Ángel Francisco   +2 more
openaire   +3 more sources

Framed cohomological Hall algebras and cohomological stable envelopes. [PDF]

Lett Math Phys, 2023
Botta TM.
europepmc   +1 more source