Page 1

Displaying 1 – 10 of 10

Showing per page

Highest Weight Modules of W1+∞, Darboux Transformations and the Bispectral Problem

Bakalov, B., Horozov, E., Yakimov, M. (1997)

Serdica Mathematical Journal

This paper is a survey of our recent results on the bispectral problem. We describe a new method for constructing bispectral algebras of any rank and illustrate the method by a series of new examples as well as by all previously known ones. Next we exhibit a close connection of the bispectral problem to the representation theory of W1+∞–algerba. This connection allows us to explain and generalise to any rank the result of Magri and Zubelli on the symmetries of the manifold of the bispectral operators...

Homotopy theory of Hopf Galois extensions

Christian Kassel, Hans-Jürgen Schneider (2005)

Annales de l'institut Fourier

We introduce the concept of homotopy equivalence for Hopf Galois extensions and make a systematic study of it. As an application we determine all H -Galois extensions up to homotopy equivalence in the case when H is a Drinfeld-Jimbo quantum group.

How to categorify one-half of quantum 𝔤𝔩(1|2)

Mikhail Khovanov (2014)

Banach Center Publications

We describe a collection of differential graded rings that categorify weight spaces of the positive half of the quantized universal enveloping algebra of the Lie superalgebra 𝔤𝔩(1|2).

Currently displaying 1 – 10 of 10

Page 1