Hostname: page-component-745bb68f8f-grxwn Total loading time: 0 Render date: 2025-01-14T19:26:26.162Z Has data issue: false hasContentIssue false
  • English
  • Français

Positivity properties for q-Schur algebras

Published online by Cambridge University Press:  01 November 1997

R. M. GREEN
R. M. GREEN
Affiliation:
Mathematical Institute, Oxford University, 24–29 St. Giles', Oxford OX1 3LB; e-mail: greenr@maths.ox.ac.uk
Get access Rights & Permissions [Opens in a new window]

Abstract

We prove Du's positivity conjecture for the canonical basis of the q-Schur algebra, using elementary arguments and the positivity result for Lusztig's canonical basis for U+q(sln). We also describe a family of subalgebras of the q-Schur algebra, each of which is spanned by the canonical basis elements it contains.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 122 , Issue 3 , November 1997 , pp. 401 - 414
Copyright
Cambridge Philosophical Society 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)