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47 p, 693.7 KB |
Test vectors for archimedean period integrals
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Humphries, Peter (University of Virginia (Charlottesville, Estats Units d'Amèrica)) ;
Jo, Yeongseong (Ewha Womans University (Seül, Corea del Sud))
We study period integrals involving Whittaker functions associated to generic irreducible Casselman-Wallach representations of GLn(F), where F is an archimedean local field. Via the archimedean theory of newforms for GLn developed by the first author, we prove that newforms are weak test vectors for several period integrals, including the GLn × GLn Rankin-Selberg integral, the Flicker integral, and the Bump-Friedberg integral. [...]
2024 - 10.5565/PUBLMAT6812407
Publicacions matemàtiques, Vol. 68 Núm. 1 (2024) , p. 139-185 (Articles)
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31 p, 699.1 KB |
C ⋆ -algebras of higher-rank graphs from groups acting on buildings, and explicit computation of their K-theory
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Mutter, Sam A. (Newcastle University. School of Mathematics, Statistics and Physics) ;
Radu, Aura-Cristiana (Newcastle University. School of Mathematics, Statistics and Physics) ;
Vdovina, Alina (Newcastle University. School of Mathematics, Statistics and Physics)
We unite elements of category theory, K-theory, and geometric group theory, by defining a class of groups called k-cube groups, which act freely and transitively on the product of k trees, for arbitrary k. [...]
2024 - 10.5565/PUBLMAT6812408
Publicacions matemàtiques, Vol. 68 Núm. 1 (2024) , p. 187-217 (Articles)
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10 p, 277.5 KB |
Corrigendum and addendum to "Structure monoids of set-theoretic solutions of the Yang-Baxter equation"
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Cedó, Ferran (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ;
Jespers, Eric (rije Universiteit Brussel. Department of Mathematics) ;
Verwimp, Charlotte (Vrije Universiteit Brussel. Department of Mathematics)
One of the results in our article which appeared in Publ. Mat. 65(2) (2021), 499-528,vis that the structure monoid M(X, r) of a left non-degenerate solution (X, r) of the Yang-Baxtervequation is a left semi-truss, in the sense of Brzezi'nski, with an additive structure monoid that is close to being a normal semigroup. [...]
2024 - 10.5565/PUBLMAT6812410
Publicacions matemàtiques, Vol. 68 Núm. 1 (2024) , p. 241-250 (Articles)
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