Results 21 to 30 of about 3,478,615 (190)

Free probability on Hecke algebras and certain group C^{*}-algebras induced by Hecke algebras [PDF]

open access: yesOpuscula Mathematica, 2016
In this paper, by establishing free-probabilistic models on the Hecke algebras \(\mathcal{H}\left(GL_{2}(\mathbb{Q}_{p})\right)\) induced by \(p\)-adic number fields \(\mathbb{Q}_{p}\), we construct free probability spaces for all primes \(p\).
Ilwoo Cho
doaj   +1 more source

Galilean free Lie algebras

open access: yesJournal of High Energy Physics, 2019
We construct free Lie algebras which, together with the algebra of spatial rotations, form infinite-dimensional extensions of finite-dimensional Galilei Maxwell algebras appearing as global spacetime symmetries of extended non-relativistic objects and ...
Joaquim Gomis   +2 more
doaj   +1 more source

Correspondences among CFTs with different W-algebra symmetry

open access: yesNuclear Physics B, 2020
W-algebras are constructed via quantum Hamiltonian reduction associated with a Lie algebra g and an sl(2)-embedding into g. We derive correspondences among correlation functions of theories having different W-algebras as symmetry algebras.
Thomas Creutzig   +3 more
doaj   +1 more source

General Ramified Recurrence is Sound for Polynomial Time [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2010
Leivant's ramified recurrence is one of the earliest examples of an implicit characterization of the polytime functions as a subalgebra of the primitive recursive functions.
Ugo Dal Lago   +2 more
doaj   +1 more source

Finitely generated free Heyting algebras via Birkhoff duality and coalgebra [PDF]

open access: yesLogical Methods in Computer Science, 2011
Algebras axiomatized entirely by rank 1 axioms are algebras for a functor and thus the free algebras can be obtained by a direct limit process. Dually, the final coalgebras can be obtained by an inverse limit process.
Nick Bezhanishvili, Mai Gehrke
doaj   +1 more source

Solvable complemented Lie algebras. [PDF]

open access: yes, 2012
In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition.
Towers, David A.
core   +3 more sources

Equivalential algebras with conjunction on the regular elements

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2021
We introduce the definition of the three-element equivalential algebra R with conjunction on the regular elements. We study the variety generated by R and prove the Representation Theorem.
Sławomir Przybyło
doaj  

On extensions of gl m n ⏜ $$ \mathfrak{gl}\widehat{\left(\left.m\right|n\right)} $$ Kac-Moody algebras and Calabi-Yau singularities

open access: yesJournal of High Energy Physics, 2020
We discuss a class of vertex operator algebras W m n × ∞ $$ {\mathcal{W}}_{\left.m\right|n\kern0.33em \times \kern0.33em \infty } $$ generated by a super- matrix of fields for each integral spin 1, 2, 3, . . . .
Miroslav Rapčák
doaj   +1 more source

On Free Pseudo-Product Fundamental Graded Lie Algebras

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
In this paper we first state the classification of the prolongations of complex free fundamental graded Lie algebras. Next we introduce the notion of free pseudo-product fundamental graded Lie algebras and study the prolongations of complex free pseudo ...
Tomoaki Yatsui
doaj   +1 more source

Bases as Coalgebras [PDF]

open access: yesLogical Methods in Computer Science, 2013
The free algebra adjunction, between the category of algebras of a monad and the underlying category, induces a comonad on the category of algebras. The coalgebras of this comonad are the topic of study in this paper (following earlier work).
Bart Jacobs
doaj   +1 more source

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