Reduced matrix elements of the orthosymplectic Lie superalgebra

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Representations of the orthosymplectic Lie superalgebra osp(1|4) and paraboson coherent states

Soon after parastatistics has been introduced [1], it was discovered that it has a deep algebraic structure. It turned out that any n pairs of parafermion operators generate the simple Lie algebra so(2n + 1) [2, 3], and n pairs of paraboson creation and annihilation operators b 1 , . . . , bn generate a Lie superalgebra [4], isomorphic to one of the basic classical Lie superalgebras in the clas...

متن کامل

Yangian of the Queer Lie Superalgebra

Consider the complex matrix Lie superalgebra glN|N with the standard generators Eij where i, j = ±1 , . . . ,±N . Define an involutory automorphism η of glN|N by η (Eij) = E−i,−j . The twisted polynomial current Lie superalgebra g = {X(u) ∈ glN|N [u] : η (X(u)) = X(−u) } has a natural Lie co-superalgebra structure. We quantise the universal enveloping algebra U(g) as a co-Poisson Hopf superalge...

متن کامل

O ct 2 00 3 Quasideterminants and Casimir elements for the general linear Lie superalgebra

We apply the techniques of quasideterminants to construct new families of Casimir elements for the general linear Lie superalgebra gl(m|n) whose images under the Harish-Chandra isomorphism are respectively the elementary, complete and power sums supersymmetric functions. School of Mathematics and Statistics University of Sydney, NSW 2006, Australia [email protected] Department of Mathemat...

متن کامل

2 9 Se p 20 03 Quasideterminants and Casimir elements for the general linear Lie superalgebra

We apply the techniques of quasideterminants to construct new families of Casimir elements for the general linear Lie superalgebra gl(m|n) whose images under the Harish-Chandra isomorphism are respectively the elementary, complete and power sums supersymmetric functions. School of Mathematics and Statistics University of Sydney, NSW 2006, Australia [email protected] Department of Mathemat...

متن کامل

Howe Duality and Combinatorial Character Formula for Orthosymplectic Lie Superalgebras

We study the Howe dualities involving the reductive dual pairs (O(d), spo(2m|2n)) and (Sp(d), osp(2m|2n)) on the (super)symmetric tensor of C ⊗ C. We obtain complete decompositions of this space with respect to their respective joint actions. We also use these dualities to derive a character formula for these irreducible representations of spo(2m|2n) and osp(2m|2n) that appear in these decompos...

متن کامل

ذخیره 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: Journal of Physics A: Mathematical and Theoretical

سال: 2014

ISSN: 1751-8113,1751-8121

DOI: 10.1088/1751-8113/48/2/025201