TL;DR
This paper computes specific Ext groups between modules for a linear algebraic group, providing results that support the Lusztig conjecture in representation theory.
Contribution
It offers explicit calculations of Ext groups that align with the predictions of the Lusztig conjecture, advancing understanding in algebraic group representations.
Findings
Ext group calculations support Lusztig conjecture
Results align with theoretical predictions
Provides new explicit Ext group data
Abstract
We calculate certain ext-groups between modules for a linear algebraic group. The results are in agreement with the Lusztig conjecture.
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Taxonomy
TopicsFinite Group Theory Research · Advanced Algebra and Geometry · Advanced Topics in Algebra