The Experts below are selected from a list of 267 Experts worldwide ranked by ideXlab platform
Zurong Yu - One of the best experts on this subject based on the ideXlab platform.
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q tensor method of determining Irreducible Representation of quantum algebra suq 3
Modern Physics Letters A, 1993Co-Authors: Yaping Yang, Zurong YuAbstract:In this paper, we construct Irreducible q-tensor operators of rank of quantum algebra SUq(2) using the generators of quantum algebra SUq(3). By means of property of q-tensor operator, we can easily obtain Irreducible Representation (IR) of SUq(3). A recurrent formula to calculate reduced coefficients of SUq(3) is obtained and the multiplicity of reduced coefficients is discussed.
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Irreducible Representation of quantum slq 3 algebra ii
Communications in Theoretical Physics, 1992Co-Authors: Zurong YuAbstract:The explicit forms of the Irreducible Representation matricea for the quantum SLq(3) enveloping algebra are computed in analogy to the Irreducible tensor technique in the classical SU(3) algebra.
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a new method of determining an Irreducible Representation of quantum slq 3 algebra i
Journal of Physics A, 1991Co-Authors: Zurong YuAbstract:The explicit forms of the Irreducible Representation matrices for the quantum Slq(3) enveloping algebra are computed by a new technique.
V K B Kota - One of the best experts on this subject based on the ideXlab platform.
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simple formula for leading su 3 Irreducible Representation for nucleons in an oscillator shell
arXiv: Nuclear Theory, 2018Co-Authors: V K B KotaAbstract:Applications of rotational $SU(3)$ symmetry in nuclei, using Elliott's $SU(3)$ or pseudo-$SU(3)$ or proxy-$SU(3)$ model, often need just the lowest or leading $SU(3)$ Irreducible Representation (irrep) $(\lambda_H, \mu_H)$. For nucleons in an oscillator shell $\eta$, with ${\cal N}=(\eta +1)(\eta +2)/2$, we have the algebra $U(r{\cal N}) \supset [U({\cal N}) \supset SU(3)] \otimes SU(r)$; $r=2$ when there are only valence protons or neutrons and $r=4$ for nucleons with isospin $T$. Presented in this paper is a simple general formula for the leading $SU(3)$ irrep $(\lambda_H, \mu_H)$ in any given irrep $\{f\}$ of $U({\cal N})$. Results are provided for $(\lambda_H, \mu_H)$ irreps for $\eta$ values of interest in nuclei and for this for all allowed particle numbers. These results clearly show that prolate shape dominates over oblate shape in the shell model $SU(3)$ description.
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Simple formula for leading $SU(3)$ Irreducible Representation for nucleons in an oscillator shell
arXiv: Nuclear Theory, 2018Co-Authors: V K B KotaAbstract:Applications of rotational $SU(3)$ symmetry in nuclei, using Elliott's $SU(3)$ or pseudo-$SU(3)$ or proxy-$SU(3)$ model, often need just the lowest or leading $SU(3)$ Irreducible Representation (irrep) $(\lambda_H, \mu_H)$. For nucleons in an oscillator shell $\eta$, with ${\cal N}=(\eta +1)(\eta +2)/2$, we have the algebra $U(r{\cal N}) \supset [U({\cal N}) \supset SU(3)] \otimes SU(r)$; $r=2$ when there are only valence protons or neutrons and $r=4$ for nucleons with isospin $T$. Presented in this paper is a simple general formula for the leading $SU(3)$ irrep $(\lambda_H, \mu_H)$ in any given irrep $\{f\}$ of $U({\cal N})$. Results are provided for $(\lambda_H, \mu_H)$ irreps for $\eta$ values of interest in nuclei and for this for all allowed particle numbers. These results clearly show that prolate shape dominates over oblate shape in the shell model $SU(3)$ description.
Bin Xu - One of the best experts on this subject based on the ideXlab platform.
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A reciprocal branching problem for automorphic Representations and global Vogan packets
Crelle's Journal, 2019Co-Authors: Dihua Jiang, Bin XuAbstract:Abstract Let G be a group and let H be a subgroup of G. The classical branching rule (or symmetry breaking) asks: For an Irreducible Representation π of G, determine the occurrence of an Irreducible Representation σ of H in the restriction of π to H. The reciprocal branching problem of this classical branching problem is to ask: For an Irreducible Representation σ of H, find an Irreducible Representation π of G such that σ occurs in the restriction of π to H. For automorphic Representations of classical groups, the branching problem has been addressed by the well-known global Gan–Gross–Prasad conjecture. In this paper, we investigate the reciprocal branching problem for automorphic Representations of special orthogonal groups using the twisted automorphic descent method as developed in [13]. The method may be applied to other classical groups as well.
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A reciprocal branching problem for automorphic Representations and global Vogan packets.
arXiv: Number Theory, 2018Co-Authors: Dihua Jiang, Bin XuAbstract:Let $G$ be a group and $H$ be a subgroup of $G$. The classical branching rule (or symmetry breaking) asks: For an Irreducible Representation $\pi$ of $G$, determine the occurrence of an Irreducible Representation $\sigma$ of $H$ in the restriction of $\pi$ to $H$. The reciprocal branching problem of this classical branching problem is to ask: For an Irreducible Representation $\sigma$ of $H$, find an Irreducible Representation $\pi$ of $G$ such that $\sigma$ occurs in the restriction of $\pi$ to $H$. For automorphic Representations of classical groups, the branching problem has been addressed by the well-known global Gan-Gross-Prasad conjecture. In this paper, we investigate the reciprocal branching problem for automorphic Representations of special orthogonal groups using the twisted automorphic descent method as developed in [JZ15]. The method may be applied to other classical groups as well.
Dihua Jiang - One of the best experts on this subject based on the ideXlab platform.
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A reciprocal branching problem for automorphic Representations and global Vogan packets
Crelle's Journal, 2019Co-Authors: Dihua Jiang, Bin XuAbstract:Abstract Let G be a group and let H be a subgroup of G. The classical branching rule (or symmetry breaking) asks: For an Irreducible Representation π of G, determine the occurrence of an Irreducible Representation σ of H in the restriction of π to H. The reciprocal branching problem of this classical branching problem is to ask: For an Irreducible Representation σ of H, find an Irreducible Representation π of G such that σ occurs in the restriction of π to H. For automorphic Representations of classical groups, the branching problem has been addressed by the well-known global Gan–Gross–Prasad conjecture. In this paper, we investigate the reciprocal branching problem for automorphic Representations of special orthogonal groups using the twisted automorphic descent method as developed in [13]. The method may be applied to other classical groups as well.
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A reciprocal branching problem for automorphic Representations and global Vogan packets.
arXiv: Number Theory, 2018Co-Authors: Dihua Jiang, Bin XuAbstract:Let $G$ be a group and $H$ be a subgroup of $G$. The classical branching rule (or symmetry breaking) asks: For an Irreducible Representation $\pi$ of $G$, determine the occurrence of an Irreducible Representation $\sigma$ of $H$ in the restriction of $\pi$ to $H$. The reciprocal branching problem of this classical branching problem is to ask: For an Irreducible Representation $\sigma$ of $H$, find an Irreducible Representation $\pi$ of $G$ such that $\sigma$ occurs in the restriction of $\pi$ to $H$. For automorphic Representations of classical groups, the branching problem has been addressed by the well-known global Gan-Gross-Prasad conjecture. In this paper, we investigate the reciprocal branching problem for automorphic Representations of special orthogonal groups using the twisted automorphic descent method as developed in [JZ15]. The method may be applied to other classical groups as well.
Irvin Roy Hentzel - One of the best experts on this subject based on the ideXlab platform.
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invariant nonassociative algebra structures on Irreducible Representations of simple lie algebras
Experimental Mathematics, 2004Co-Authors: Murray R Bremner, Irvin Roy HentzelAbstract:An Irreducible Representation of a simple Lie algebra can be a direct summand of its own tensor square. In this case, the Representation admits a nonassociative algebra structure which is invariant...