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BPS states meet generalized cohomology

open access: yesJournal of High Energy Physics, 2023
In this note we review a construction of a BPS Hilbert space in an effective supersymmetric quiver theory with 4 supercharges. We argue abstractly that this space contains elements of an equivariant generalized cohomology theory E G ∗ − $$ {E}_G^{\ast ...
Dmitry Galakhov
doaj   +1 more source

Partitioner-representable algebras [PDF]

open access: yesProceedings of the American Mathematical Society, 1988
We give a simple proof of the theorem of Baumgartner and Weese on representability of Boolean algebras. We also show that the representability of P ( ω 1 ) P\left ( {{\omega _1}} \right ) implies the ...
P. Zbierski, R. Frankiewicz
openaire   +3 more sources

Gelfand Models for Diagram Algebras [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2013
A Gelfand model for a semisimple algebra $\mathsf{A}$ over $\mathbb{C}$ is a complex linear representation that contains each irreducible representation of $\mathsf{A}$ with multiplicity exactly one.
Tom Halverson
doaj   +1 more source

Hamiltonian Quantization of Chern-Simons theory with SL(2,C) Group [PDF]

open access: yes, 2002
We analyze the hamiltonian quantization of Chern-Simons theory associated to the universal covering of the Lorentz group SO(3,1). The algebra of observables is generated by finite dimensional spin networks drawn on a punctured topological surface.
Alekseev A Yu   +22 more
core   +5 more sources

Representations of Algebraic Groups [PDF]

open access: yesNagoya Mathematical Journal, 1963
Our purpose here is to study the irreducible representations of semisimple algebraic groups of characteristic p 0, in particular the rational representations, and to determine all of the representations of corresponding finite simple groups. (Each algebraic group is assumed to be defined over a universal field which is algebraically closed and of ...
openaire   +4 more sources

W-representations of the fermionic matrix and Aristotelian tensor models

open access: yesNuclear Physics B, 2021
We show that the fermionic matrix model can be realized by W-representation. We construct the Virasoro constraints with higher algebraic structures, where the constraint operators obey the Witt algebra and null 3-algebra.
Lu-Yao Wang   +3 more
doaj   +1 more source

On special covariants in the exterior algebra of a simple Lie algebra [PDF]

open access: yes, 2014
We study the subspace of the exterior algebra of a simple complex Lie algebra linearly spanned by the copies of the little adjoint representation or, in the case of the Lie algebra of traceless matrices, by the copies of the n-th symmetric power of the ...
De Concini, Corrado   +3 more
core   +2 more sources

On calibrated representations of the degenerate affine Periplectic Brauer algebra [PDF]

open access: yesSurveys in Mathematics and its Applications, 2021
We initiate the representation theory of the degenerate affine periplectic Brauer algebra on n strands by constructing its finite-dimensional calibrated representations when n=2.
Zajj Daugherty   +3 more
doaj  

On the Regular Representations of Algebras [PDF]

open access: yesProceedings of the National Academy of Sciences, 1937
Introduction.! As this paper is the expression of my work as a student under Prof. R. Brauer, I wish at the outset to acknowledge my deep indebtedness to my former teacher. For an associative algebra a, having a unit element and lying over a given field K, two regular representations T? and (E are defined.
Richard Brauer, Cecil J. Nesbitt
openaire   +3 more sources

Electric-Magnetic duality and the "Loop Representation" in Abelian Gauge Theories [PDF]

open access: yes, 1996
Abelian Gauge Theories are quantized in a geometric representation that generalizes the Loop Representation and treates electric and magnetic operators on the same footing.
Leal, Lorenzo
core   +2 more sources

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