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A Simple Proof of an Identity Concerning Pfaffians of Skew Symmetric Matrices

✍ Scribed by A.W.M. Dress; W. Wenzel

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 348 KB
Volume: 112
Category: Article
ISSN: 0001-8708
DOI: 10.1006/aima.1995.1029

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✦ Synopsis

In the present paper we prove an identity concerning Ptaflians similar to the wellknown Grassmann Plücker relations for determinants, using tools from multilinear algehra. More precisely, we shall derive the identity as a corollary to an equation concerning skew-symmetric bilinear forms and operators. acting on the exterior algehra (A(M)) of an (R)-module (M) over some fixed commutative ring (R) with (1 \in R). 1 1945 Acistemic Press. Inc

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## Abstract In the numerical modelling of mechanical systems, eigenvalue problems occur in connection with the evaluation of resonance frequencies, buckling modes and other more esoteric calculations. The matrices whose eigenvalues are sought sometimes have a skew‐symmetric component and the presen