Nova Journal of Algebra and Geometry, Volume 3Nova Science Publishers, 1994 - Algebra |
Contents
NUMBER | 3 |
DECOMPOSITIONS OF BRUHAT TYPE FOR KACMOODY GROUPS | 11 |
REAL ORTHOGONAL MULTIPLICATIONS | 41 |
Copyright | |
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2-group A₁ abelian group acts quadratically associative assume Bernstein algebra Bruhat Bruhat decomposition central characteristic subgroup commutative completes the proof contradiction coplanar Corollary d(a,a+b d(b,b+a decomposition define denote Department of Mathematics direct sum duads elementary abelian elements exists finite fixes follows full orthogonal multiplication group rings H₁ Hence idempotents implies invariant involution Ip(A isomorphic J₁ Journal of Algebra Lemma linear loop rings Math matrix module Moreover non-trivial nonzero normal Nova Journal Nova Science Publishers obtain orthonormal P₂ parabolic geometry power-associative proof of Theorem Proposition prove quaternion RA loop result right alternative Rm+2 semiprime subloop superalgebra Suppose Sylow 2-subgroup t₁ torsion units transvection triduad U(ZL u₁ unique V₁ vector Z₂ α α α α β αβ αι β α βα γα