Results 11 to 20 of about 409,693 (287)

q-deformation of corner vertex operator algebras by Miura transformation

open access: yesJournal of High Energy Physics, 2021
Recently, Gaiotto and Rapcak proposed a generalization of W N algebra by considering the symmetry at the corner of the brane intersection (corner vertex operator algebra).
Koichi Harada   +3 more
doaj   +1 more source

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

The model method: Crown jewel in Singapore mathematics

open access: yesAsian Journal for Mathematics Education, 2022
The model method is synonymous with Singapore Mathematics. The spiral structure of the mathematics curriculum, with its focus on problem solving, and the concrete-pictorial-abstract approach to teaching, supports the use of the model method to solve ...
Swee Fong Ng
doaj   +1 more source

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

REPRESENTATIONS OF REFLECTION ALGEBRAS [PDF]

open access: yesReviews 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.
openaire   +2 more sources

n -representation infinite algebras

open access: yesAdvances 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
openaire   +2 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

Unbounded representations of ∗-algebras [PDF]

open access: yesPacific Journal of Mathematics, 1977
Basic results on unbounded operator algebras are given, a general class of representatio ns, called adjointable representations is introduced and irreducibility of representations is considered. A characterizati on of self-adjointness for closed, strongly cyclic ^-representations is presented.
Gudder, S., Scruggs, W.
openaire   +2 more sources

Representations of Leavitt path algebras [PDF]

open access: yesJournal of Pure and Applied Algebra, 2020
We study representations of a Leavitt path algebra $L$ of a finitely separated digraph $ $ over a field. We show that the category of $L$-modules is equivalent to a full subcategory of quiver representations. When $ $ is a (non-separated) row-finite digraph we determine all possible finite dimensional quotients of $L$ after giving a necessary and ...
Koc, Ayten, Ozaydin, Murad
openaire   +4 more sources

Deformed Heisenberg algebra with reflection [PDF]

open access: yes, 1997
A universality of deformed Heisenberg algebra involving the reflection operator is revealed. It is shown that in addition to the well-known infinite-dimensional representations related to parabosons, the algebra has also finite-dimensional ...
Arik   +46 more
core   +2 more sources

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