Ext1-quivers for the Witt algebra W (1, 1)
Let g be the finite-dimensional Witt algebra W (1, 1) over an algebraically closed field of characteristic p > 3. It is well known that all simple W (1, 1)-modules are finite-dimensional. Each simple module admits a character χ ∈ g . Given χ ∈ g one can form the (finite-dimensional) reduced enveloping algebra u (g, χ). The simple modules for u (g, χ) are precisely those simple W (1, 1)-modules admitting the character χ. In this paper the authors compute Ext between pairs of simple modules for u (g, χ). © 2009 Elsevier Inc. All rights reserved. * * 1
Journal of Algebra
Boe, Brian D.; Nakano, Daniel K.; and Wiesner, Emilie, "Ext1-quivers for the Witt algebra W (1, 1)" (2009). Faculty Articles Indexed in Scopus. 1568.