All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 10 Next

Displaying 181 – 200 of 1861

Showing per page

BGG resolutions via configuration spaces

Michael Falk, Vadim Schechtman, Alexander Varchenko (2014)

Journal de l’École polytechnique — Mathématiques

We study the blow-ups of configuration spaces. These spaces have a structure of what we call an Orlik–Solomon manifold; it allows us to compute the intersection cohomology of certain flat connections with logarithmic singularities using some Aomoto type complexes of logarithmic forms. Using this construction we realize geometrically the 𝔰𝔩 2 Bernstein–Gelfand–Gelfand resolution as an Aomoto complex.

Bicovariant differential calculi and cross products on braided Hopf algebras

Yuri Bespalov, Bernhard Drabant (1997)

Banach Center Publications

In a braided monoidal category C we consider Hopf bimodules and crossed modules over a braided Hopf algebra H. We show that both categories are equivalent. It is discussed that the category of Hopf bimodule bialgebras coincides up to isomorphism with the category of bialgebra projections over H. Using these results we generalize the Radford-Majid criterion and show that bialgebra cross products over the Hopf algebra H are precisely described by H-crossed module bialgebras. In specific braided monoidal...

Bicrossproduct Hopf quasigroups

Jennifer Klim, Shahn Majid (2010)

Commentationes Mathematicae Universitatis Carolinae

We recall the notion of Hopf quasigroups introduced previously by the authors. We construct a bicrossproduct Hopf quasigroup k M ▹ ◂ k ( G ) from every group X with a finite subgroup G ⊂ X and IP quasigroup transversal M ⊂ X subject to certain conditions. We identify the octonions quasigroup G 𝕆 as transversal in an order 128 group X with subgroup ℤ 2 3 and hence obtain a Hopf quasigroup k G 𝕆 > ◂ k ( ℤ 2 3 ) as a particular case of our construction.

Binary operations in classical and quantum mechanics

Janusz Grabowski, Giuseppe Marmo (2003)

Banach Center Publications

Binary operations on algebras of observables are studied in the quantum as well as in the classical case. It is shown that certain natural compatibility conditions with the associative product imply properties which are usually additionally required.

Braided modules and reflection equations

Dimitri Gurevich (1997)

Banach Center Publications

We introduce a representation theory of q-Lie algebras defined earlier in [DG1], [DG2], formulated in terms of braided modules. We also discuss other ways to define Lie algebra-like objects related to quantum groups, in particular, those based on the so-called reflection equations. We also investigate the truncated tensor product of braided modules.

Calcolo della funzione di partizione di Kostant

Stefano Capparelli (2003)

Bollettino dell'Unione Matematica Italiana

Forniamo un calcolo esplicito della funzione di partizione di Kostant per algebre di Lie complesse di rango 2 . La tecnica principale consiste nella riduzione a casi più semplici ed all'uso di funzioni generatrici.

Currently displaying 181 – 200 of 1861