✦ LIBER ✦

Pfaffian Identities: A Combinatorial Approach

✍ Scribed by A.M. Hamel

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 136 KB
Volume: 94
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.2000.3117

No coin nor oath required. For personal study only.

✦ Synopsis

Following Knuth, we approach pfaffians from a combinatorial point of view and produce a number of vector-based identities. Identities of Hirota, Ohta, and Srinivasan are obtained as specializations. We also demonstrate an application to Schur Q-functions.

📜 SIMILAR VOLUMES

A combinatorial identity

✍ Daniel E Novoseller; M.L Glasser 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 194 KB

A class of combinatorial identities

✍ Dean S. Clark 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 105 KB

A combinatorial proof of Newton's identi

A combinatorial proof of Newton's identities

✍ Doron Zeilberger 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 33 KB

Remark on a combinatorial identity

✍ L Carlitz 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 56 KB

A Quick Combinatorial Proof of Eisenstei

A Quick Combinatorial Proof of Eisenstein Series Identities

✍ N.P. Skoruppa 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 222 KB

A Simple Proof of an Identity Concerning

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

✍ A.W.M. Dress; W. Wenzel 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 348 KB

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 operator