Results 11 to 20 of about 410,348 (334)
Algebras with representable representations [PDF]
Proceedings of the Edinburgh Mathematical Society, 2021 Just like group actions are represented by group automorphisms, Lie algebra actions are represented by derivations: up to isomorphism, a split extension of a Lie algebra $B$ by a Lie algebra~$X$ corresponds to a Lie algebra morphism $B\to \mathrm{Der}(X)$ from $B$ to the Lie algebra $\mathrm{Der}(X)$ of derivations on~$X$.
Van der Linden, Tim +1 more
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Partitioner-representable algebras [PDF]
Proceedings 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 ...
Frankiewicz, R., Zbierski, P.
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Representability In Lambda Algebras [PDF]
Indagationes Mathematicae (Proceedings), 1976 Summary§ 1 is concerned with the term model of the α-calculus. It is proved that Church's δ is not dofinable and that the definable functions into the numerals are constant. In § 2 it is proved that for several α-algebras the range of a representable function is either a singleton or infinite.
Bergstra, J.A. +3 more
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BPS states meet generalized cohomology
Journal 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
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REPRESENTATIONS OF REFLECTION ALGEBRAS [PDF]
Reviews in Mathematical Physics, 2002 We study a class of algebras B(n,l) associated with integrable models with boundaries. These algebras can be identified with coideal subalgebras in the Yangian for gl(n). We construct an analog of the quantum determinant and show that its coefficients generate the center of B(n,l).
Molev, A. I., Ragoucy, E.
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Gelfand Models for Diagram Algebras [PDF]
Discrete 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
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Hamiltonian Quantization of Chern-Simons theory with SL(2,C) Group [PDF]
, 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
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Electric-Magnetic duality and the "Loop Representation" in Abelian Gauge Theories [PDF]
, 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
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n -representation infinite algebras
Advances in Mathematics, 2014 From the viewpoint of higher dimensional Auslander-Reiten theory, we introduce a new class of finite dimensional algebras of global dimension n, which we call n-representation infinite. They are a certain analog of representation infinite hereditary algebras, and we study three important classes of modules: n-preprojective, n-preinjective and n-regular
Herschend, Martin +2 more
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W-representations of the fermionic matrix and Aristotelian tensor models
Nuclear 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
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