THE LIE ALGEBRA STRUCTURE ON THE FIRST HOCHSCHILD COHOMOLOGY GROUP OF A MONOMIAL ALGEBRA
2006 ◽
Vol 05
(03)
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pp. 245-270
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Keyword(s):
We study the Lie algebra structure of the first Hochschild cohomology group of a finite dimensional monomial algebra Λ, in terms of the combinatorics of its quiver, in any characteristic. This allows us also to examine the identity component of the algebraic group of outer automorphisms of Λ in characteristic zero. Criteria for the (semi-)simplicity, the solvability, the reductivity, the commutativity and the nilpotency are given.
2002 ◽
Vol 334
(9)
◽
pp. 733-738
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2004 ◽
Vol 03
(02)
◽
pp. 143-159
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2002 ◽
Vol 45
(3)
◽
pp. 647-652
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2014 ◽
Vol 14
(03)
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pp. 1550034
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Keyword(s):
1969 ◽
Vol 21
◽
pp. 1432-1454
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Keyword(s):
2008 ◽
Vol 128
(3)
◽
pp. 373-388
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2009 ◽
Vol 20
(11)
◽
pp. 1347-1362
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