Article
Mathematics, Applied
Sumana Hatui, Pooja Singla
Summary: The article discusses the Schur multiplier and representation group of discrete Heisenberg groups and their t-variants, providing a construction of all complex finite dimensional irreducible projective representations of these groups.
JOURNAL OF PURE AND APPLIED ALGEBRA
(2021)
Article
Mathematics
Sumana Hatui, E. K. Narayanan, Pooja Singla
Summary: This article provides a characterization of monomial projective representations of finitely generated nilpotent groups. It also characterizes polycyclic groups whose projective representations are finite dimensional.
COMMUNICATIONS IN ALGEBRA
(2023)
Article
Mathematics
Massimiliano Alessandro, Christian Gleissner, Julia Kotonski
Summary: A semi-projective representation is a homomorphism that maps a finite group to the group of semi-projective transformations of a finite dimensional vector space. Schur's concept of a representation group is extended to semi-projective representations under the assumption of an algebraically closed field. A computer algorithm is provided to generate all twisted representation groups for a given finite group under trivial or conjugation actions on the complex number field.
COMMUNICATIONS IN ALGEBRA
(2023)
Article
Mathematics
R. J. Higgs, C. Finnegan, D. Healy
Summary: This article investigates the inequivalent irreducible projective representations of a finite group and their relationship with Sylow subgroups. It shows that the group G is solvable when the degrees satisfy certain conditions, and provides a detailed analysis of the actions of G on normal subgroups.
COMMUNICATIONS IN ALGEBRA
(2023)
Article
Mathematics
Samuel C. Edwards
Summary: We prove the effective equidistribution of the horocycle flow in the unit tangent bundle of infinite-volume geometrically finite hyperbolic surfaces.
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
(2022)
Article
Mathematics
Fan Gao, Wan-Yu Tsai
Summary: The study examines a conjectural formula for maximal elements in the wavefront set associated with a theta representation of a covering group over p-adic fields, showing its agreement with existing literature for various families of groups. It also summarizes the results of a similar formula in the archimedean case, which inspired the conjectural formula in the p-adic setting.
MATHEMATISCHE ZEITSCHRIFT
(2022)
Article
Mathematics
Abraham Love Prins
Summary: This paper computes the Schur multipliers and irreducible projective character tables IrrProj(G, cci) with corresponding factor sets alpha(i) for each maximal subgroup G of the sporadic simple Mathieu groups M-11, M-12, and the automorphism group Aut(M-12) of M-12. These tables are obtained using a GAP code in a computational algebra system, providing a powerful tool for studying algebraic structures.
ADVANCES IN GROUP THEORY AND APPLICATIONS
(2021)
Article
Automation & Control Systems
Zhikun She, Meilun Li
Summary: In this article, both over- and under-approximations of reachable sets for analytic autonomous dynamical systems beyond polynomial dynamics are investigated. The evolution function concept and its Lie derivatives series representation are used to introduce methodologies to compute these approximations. Experimental benchmarks, including a nonpolynomial quadrotor model, demonstrate the advantages of the computational methods proposed in this study over existing methods.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2021)
Article
Mathematics
Abraham Love Prins
Summary: This paper presents a routine written in the computational algebra system GAP to compute the irreducible projective characters IrrProj(G, alpha(i)) with associated factor sets ai for the maximal subgroups of the sporadic simple Mathieu group M-22 and its automorphism group M-22:2. The routine is derived from the theory of finding all the irreducible projective characters of a finite group G from the ordinary irreducible characters of a representation group R = M(G).G of G, where M(G) denotes the Schur multiplier of G.
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS
(2023)
Article
Mathematics
Abraham Love Prins
Summary: This paper presents a routine written in the computational algebra system GAP to compute the irreducible projective characters of the maximal subgroups of the sporadic simple Mathieu group M22 and its automorphism group M22:2. The routine is based on the theory of finding all the irreducible projective characters of a finite group by using the ordinary irreducible characters of a representation group.
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS
(2022)
Proceedings Paper
Computer Science, Artificial Intelligence
Shiyu Xia, Jiaqi Lv, Ning Xu, Gang Niu, Xin Geng
Summary: This paper introduces a new partial-label learning method called PaPi, which optimizes a prototypical classifier by sharing the feature encoder with a linear classifier and explicitly encourages representation learning to reflect visual similarity between different categories. Compared to other partial-label learning methods, PaPi has significant advantages in various image classification tasks.
2023 IEEE/CVF CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION (CVPR)
(2023)
Article
Mathematics, Applied
Dirceu Bagio, Hector Pinedo
JOURNAL OF ALGEBRA AND ITS APPLICATIONS
(2016)
Article
Mathematics
H. G. G. De Lima, H. Pinedo
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY
(2016)
Article
Mathematics
M. Dokuchaev, B. Novikov, H. Pinedo
JOURNAL OF ALGEBRA
(2013)
Article
Mathematics, Applied
Luis Martinez, Hector Pinedo, Carlos Uzcategui
Summary: The study extends the correspondence between partial actions of a group on a set and semigroup homomorphism, and explores the topological version of this result on inverse semigroup.
FORUM MATHEMATICUM
(2022)
Article
Mathematics
Dirceu Bagio, Hector Pinedo
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES
(2017)
Article
Mathematics
Hector Pinedo
BOLETIN DE MATEMATICAS
(2015)
Article
Mathematics, Applied
H. Pinedo
ALGEBRA & DISCRETE MATHEMATICS
(2013)
