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Generating Pairs for the Fischer Group Fi_(23)
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作者 Faryad Ali Mohammed Al-Kadhi 《Algebra Colloquium》 SCIE CSCD 2020年第4期713-730,共18页
A group G is said to be(l,m,n)-generated if it is a quotient of the triangle groupT(l,m,n)=(x,y,z|x^(l)=y^(m)=z^(n)=xyz=1).Moori posed in 1993 the question of finding all the triples(l,m,n)such that non-abelian finite... A group G is said to be(l,m,n)-generated if it is a quotient of the triangle groupT(l,m,n)=(x,y,z|x^(l)=y^(m)=z^(n)=xyz=1).Moori posed in 1993 the question of finding all the triples(l,m,n)such that non-abelian finite simple groups are(l,m,n)-generated.We partially answer this question for the Fischer sporadic simple group Fi23.In particular,we investigate all(2,q,r)-generations for the Fischer sporadic simple group Fi23,where q and r are distinct prime divisors of|Fi_(23)|. 展开更多
关键词 generating pair Fischer group Fi_(23) sporadic group generating triple
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Compressed H3S: Fits to the Empirical Hc2(T) Data and a Discussion of the Meissner Effect
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作者 Gulshan Prakash Malik Vijaya Shankar Varma 《World Journal of Condensed Matter Physics》 2023年第4期111-127,共17页
Based on μ-, T- and H-dependent pairing and number equations and the premise that μ(T) is predominantly the cause of the variation of the upper critical field H<sub>c</sub><sub>2</sub>(T), wh... Based on μ-, T- and H-dependent pairing and number equations and the premise that μ(T) is predominantly the cause of the variation of the upper critical field H<sub>c</sub><sub>2</sub>(T), where μ, T and H denote the chemical potential, temperature and the applied field, respectively, we provide in this paper fits to the empirical H<sub>c</sub><sub>2</sub>(T) data of H<sub>3</sub>S reported by Mozaffari, et al. (2019) and deal with the issue of whether or not H<sub>3</sub>S exhibits the Meissner effect. Employing a variant of the template given by Dogan and Cohen (2021), we examine in detail the results of Hirsch and Marsiglio (2022) who have claimed that H<sub>3</sub>S does not exhibit the Meissner effect and Minkov, et al. (2023) who have claimed that it does. We are thus led to suggest that monitoring the chemical potential (equivalently, the number density of Cooper pairs N<sub>s</sub> at T = T<sub>c</sub>) should shed new light on the issue being addressed. 展开更多
关键词 Compressed H3S Upper and Lower Critical Fields Chemical Potential Generalized Pairing and Number Equations Coherence Length Penetration Depth Meissner Effect
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A New (2+1)-Dimensional KdV Equation and Its Localized Structures 被引量:1
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作者 彭彦泽 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第11期863-865,共3页
A new (2+1)-dimensional KdV equation is constructed by using Lax pair generating technique. Exact solutions of the new equation are studied by means of the singular manifold method. Bgcklund transformation in terms... A new (2+1)-dimensional KdV equation is constructed by using Lax pair generating technique. Exact solutions of the new equation are studied by means of the singular manifold method. Bgcklund transformation in terms of the singular manifold is obtained. And localized structures are also investigated. 展开更多
关键词 (2+1)-dimensional KdV equation Lax pair generating technique singular manifold method
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Pairing Problem of Generators in Non twisted Affine Lie Algebras 被引量:1
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作者 徐海霞 卢才辉 《Northeastern Mathematical Journal》 CSCD 2001年第1期111-119,共9页
In this paper, we discuss the pairing problem of generators in four affine Lie algebra. That is, for any given imaginary root vector x∈g(A) , there exists y such that x and y generate a subalgebra cont... In this paper, we discuss the pairing problem of generators in four affine Lie algebra. That is, for any given imaginary root vector x∈g(A) , there exists y such that x and y generate a subalgebra containing g′(A). 展开更多
关键词 affine Lie algebra imaginary root vector pairing generator
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Wigner function for the generalized excited pair coherent state
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作者 孟祥国 王继锁 +1 位作者 梁宝龙 李洪奇 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第5期1791-1797,共7页
This paper introduces the generalized excited pair coherent state (GEPCS). Using the entangled state 〈η〉 representation of Wigner operator, it obtains the Wigner function for the GEPCS. In the ρ-γ phase space, ... This paper introduces the generalized excited pair coherent state (GEPCS). Using the entangled state 〈η〉 representation of Wigner operator, it obtains the Wigner function for the GEPCS. In the ρ-γ phase space, the variations of the Wigner function distributions with the parameters q, α, k and l are discussed. The tomogram of the GEPCS is calculated with the help of the Radon transform between the Wigner operator and the projection operator of the entangled state |η1, η2, τ1, τ2|. The entangled states |η〉 and |η1, η2, τ1, τ2〉 provide two good representative space for studying the Wigner functions and tomograms of various two-mode correlated quantum states. 展开更多
关键词 generalized excited pair coherent state Wigner function TOMOGRAM entangled state representation
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The Additive Generators of <i>n</i>-Dimensional Overlap Functions
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作者 Hai Xie 《Journal of Applied Mathematics and Physics》 2021年第8期2159-2169,共11页
In this paper, we introduce the concepts of additive generators and additive generator pair of <em>n</em>-dimensional overlap functions, in order to extend the dimensionality of overlap functions from 2 to... In this paper, we introduce the concepts of additive generators and additive generator pair of <em>n</em>-dimensional overlap functions, in order to extend the dimensionality of overlap functions from 2 to <em>n</em>. We mainly discuss the conditions under which an <em>n</em>-dimensional overlap function can be expressed in terms of its generator pair. 展开更多
关键词 Overlap Functions n-Dimensional Overlap Functions Additive Generators Additive Generator Pair
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On the Termination of Flips for Log Canonical Generalized Pairs
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作者 Guo Du CHEN Nikolaos TSAKANIKAS 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2023年第6期967-994,共28页
We prove the termination of flips for pseudo-effective NQC log canonical generalized pairs of dimension 4.As main ingredients,we verify the termination of flips for 3-dimensional NQC log canonical generalized pairs,an... We prove the termination of flips for pseudo-effective NQC log canonical generalized pairs of dimension 4.As main ingredients,we verify the termination of flips for 3-dimensional NQC log canonical generalized pairs,and show that the termination of flips for pseudo-effective NQC log canonical generalized pairs which admit NQC weak Zariski decompositions follows from the termination of flips in lower dimensions. 展开更多
关键词 Minimal Model Program generalized pairs termination of fips special termination weak Zariski decompositions
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Generalized H-codes and type Ⅱ codes over GF(4)
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作者 LIN Xin-qi WEN Xiang-ming ZHENG Wei 《The Journal of China Universities of Posts and Telecommunications》 EI CSCD 2008年第2期67-71,共5页
The typeⅡ codes have been studied widely in applications since their appearance. With analysis of the algebraic structure of finite field of order 4 (i.e., GF(4)), some necessary and sufficient conditions that a ... The typeⅡ codes have been studied widely in applications since their appearance. With analysis of the algebraic structure of finite field of order 4 (i.e., GF(4)), some necessary and sufficient conditions that a generalized H-code (i.e., GH-code) is a type Ⅱ code over GF(4) are given in this article, and an efficient and simple method to generate type Ⅱ codes from GH-codes over GF(4) is shown. The conclusions further extend the coding theory of type Ⅱ. 展开更多
关键词 Abelian code GH-codes self-dual code type Ⅱcodes generalized H-set pair (i.e. GH-set pair)
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First Order Hardy Inequalities Revisited
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作者 Xia Huang Dong Ye 《Communications in Mathematical Research》 CSCD 2022年第4期535-559,共25页
In this paper,we consider the first order Hardy inequalities using simple equalities.This basic setting not only permits to derive quickly many well-known Hardy inequalities with optimal constants,but also supplies im... In this paper,we consider the first order Hardy inequalities using simple equalities.This basic setting not only permits to derive quickly many well-known Hardy inequalities with optimal constants,but also supplies improved or new estimates in miscellaneous situations,such as multipolar potential,the exponential weight,hyperbolic space,Heisenberg group,the edge Laplacian,or the Grushin type operator. 展开更多
关键词 First order Hardy inequality inequality via equality generalized Bessel pair
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