The Orthogonal Weingarten Formula in Compact Form
نویسندگان
چکیده
منابع مشابه
The Orthogonal Weingarten Formula in Compact Form
We present a compact formulation of the orthogonal Weingarten formula, with the traditional quantity I(i1, . . . , i2k : j1, . . . , j2k) = ∫ On ui1j1 . . . ui2kj2k du replaced by the more advanced quantity I(a) = ∫ On Πu aij ij du, depending on a matrix of exponents a ∈ Mn(N). Among consequences, we establish a number of basic facts regarding the integrals I(a): vanishing condition, sign, poss...
متن کاملAnalysis of Visual Impacts in Compact City’s Form
Desired physical form of cities has been noticeable since the beginning of urbanization, from old patterns of early civilizations to the latest urbanism’s theories, which offered to build better cities. The opinions in recent decades have expressed that compact physical form of cities is a better form than sprawl form to achieve urban sustainability. The form of the city is the embodiment of it...
متن کاملA Closed-Form Formula for the Fair Allocation of Gains in Cooperative N-Person Games
Abstract This paper provides a closed-form optimal solution to the multi-objective model of the fair allocation of gains obtained by cooperation among all players. The optimality of the proposed solution is first proved. Then, the properties of the proposed solution are investigated. At the end, a numerical example in inventory control environment is given to demonstrate the application and t...
متن کاملJucys–murphy Elements and Weingarten Matrices
We provide a compact proof of the recent formula of Collins and Matsumoto for the Weingarten matrix of the orthogonal group using Jucys–Murphy elements.
متن کاملA Giambelli Formula for Even Orthogonal Grassmannians
Let X be an orthogonal Grassmannian parametrizing isotropic subspaces in an even dimensional vector space equipped with a nondegenerate symmetric form. We prove a Giambelli formula which expresses an arbitrary Schubert class in the classical and quantum cohomology ring of X as a polynomial in certain special Schubert classes. Our analysis reveals a surprising relation between the Schubert calcu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 2009
ISSN: 0377-9017,1573-0530
DOI: 10.1007/s11005-009-0363-y