Zobrazeno 1 - 10
of 167
pro vyhledávání: '"Gould, Mark D"'
This paper initiates the study of the Einstein equation on homogeneous supermanifolds. First, we produce explicit curvature formulas for graded Riemannian metrics on these spaces. Next, we present a construction of homogeneous supermanifolds by means
Externí odkaz:
http://arxiv.org/abs/2411.13864
We develop explicit formulae for the eigenvalues of various invariants for highest weight irreducible representations of the quantum supergroup $U_q[gl(m|n)]$. The techniques employed make use of modified characteristic identity methods and allow for
Externí odkaz:
http://arxiv.org/abs/2112.08537
Publikováno v:
Communications in Analysis and Geometry 32 (2024), pages 1445-1480
We investigate the prescribed Ricci curvature problem in the class of left-invariant naturally reductive Riemannian metrics on a non-compact simple Lie group. We obtain a number of conditions for the solvability of the underlying equations and discus
Externí odkaz:
http://arxiv.org/abs/2006.15765
Autor:
Gould, Mark D., Isaac, Phillip S.
In a previous paper the generator matrix elements and (dual) vector reduced Wigner coefficients (RWCs) were evaluated via the polynomial identities satisfied by a certain matrix constructed from the $R$-matrix $R$ and its twisted counterpart $R^T=T\c
Externí odkaz:
http://arxiv.org/abs/1811.00229
In this paper fundamental Wigner coefficients are determined algebraically by considering the eigenvalues of certain generalized Casimir invariants. Here this method is applied in the context of both type 1 and type 2 unitary representations of the L
Externí odkaz:
http://arxiv.org/abs/1705.05956
The characteristic identity formalism discussed in our recent articles is further utilized to derive matrix elements of type 2 unitary irreducible $gl(m|n)$ modules. In particular, we give matrix element formulae for all gl(m|n) generators, including
Externí odkaz:
http://arxiv.org/abs/1506.07593
Publikováno v:
Physics Letters B 743 (2015) 198
We explore the entropic uncertainty relation in the curved background outside a Schwarzschild black hole, and find that Hawking radiation introduces a nontrivial modification on the uncertainty bound for particular observer, therefore it could be wit
Externí odkaz:
http://arxiv.org/abs/1501.01700
We present an overview of characteristic identities for Lie algebras and superalgebras. We outline methods that employ these characteristic identities to deduce matrix elements of finite dimensional representations. To demonstrate the theory, we look
Externí odkaz:
http://arxiv.org/abs/1412.6852
Autor:
Gould, Mark D., Isaac, Phillip S.
Publikováno v:
J. Math. Phys. A: Math. Theor. 48 (2015) 025201
We utilise characteristic identities to construct eigenvalue formulae for invariants and reduced matrix elements corresponding to irreducible representations of osp(m|n). In presenting these results, we further develop our programme of constructive r
Externí odkaz:
http://arxiv.org/abs/1409.7142
Publikováno v:
Europhysics Letters, 122 (2018) 60001
Among various uncertainty relations, the profound fine-grained uncertainty relation is used to distinguish the uncertainty inherent in obtaining any combination of outcomes for different measurements. In this Letter, we explore this uncertainty relat
Externí odkaz:
http://arxiv.org/abs/1403.0313