Mar 10, 2011 ... Perhaps you mean to ask what the relation is between the dimension of a maximal subalgebra consisting of semisimple elements (a maximal ...
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A p-element x of a group G is semisimple if E(C_G(x))!=1 , where E(H) is the commuting product of all components of H and C_G(x) is the centralizer of G .
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a) every semi-simple element is the semisimple part of some regular element; b) two regular elements are conjugate if and only if their semisimple parts are.
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orders of the centralizers of semisimple elements in Qa, where Q is the ... subgroup of a-stable elements is the centralizer of some semisimple element in Ga.
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lizers of semisimple elements in Ga, for all groups G of classical type. To achieve ... If re is a semisimple element of Gff then its connected centralizer C0(x)° is ...
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Semisimple algebra - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Semisimple_algebra
In ring theory, a semisimple algebra is an associative algebra which has trivial Jacobson radical (only the zero element of the algebra is in the Jacobson radical) .
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Semisimple Lie algebra - Wikipedia, the free encyclopedia
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REGULAR SEMISIMPLE ELEMENTS. 3. Theorem 1.2. Using the notation above, with d ≥ 1 and q odd, ι(2d, q). = r(2d, q). Φ(1,d,q)4. Φ(1,2d,q) ι(2d + 1,q) = ι(2d, ...
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72 Algebraic groups and semi-simple elements. Let us fix an algebraically closed field K and let G be a connected reductive algebraic group over K. Let T be a ...
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CONJUGACY CLASSES OF SEMISIMPLE ELEMENTS IN AN. ALGEBRAIC GROUP AND ITS ASSOCIATED FINITE GROUPS. JAY TAYLOR. Let k = Fp for some ...
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