Projective functors for algebraic groups |
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Authors: | Oleksandr Khomenko |
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Institution: | aUniversität Freiburg, Mathematisches Institut, Eckestrasse 1, D-79104, Freiburg, Germany |
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Abstract: | We investigate the regular subquotient category introduced by Soergel in W. Soergel, On the relation between intersection cohomology and representation theory in positive characteristic, J. Pure Appl. Algebra 152 (1–3) (2000) 311–335]. A detailed study of projective functors enables one to relate those categories for semi-simple algebraic group G and its subgroup schemata GrT. As an application we derive some information about the characters of tilting modules for G. |
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Keywords: | Semi-simple algebraic group Category sciencedirect " target="_blank">com/cache/MiamiImageURL/B6W9F-4KTVP43-1-3/0?wchp=dGLbVlW-zSkzV" alt="View the MathML source" title="View the MathML source" align="absbottom" border="0" height=12 width="14"/> Tilting module |
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