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- 要約等Let <i>S</i> be a finite group with a character, sgn, of order 2, and <i>S</i>′ its ......> = ⟨<i>z</i>⟩ of order 2. A representation π of <i>S</i>′ is c...... ∈ <i>S</i>′), and the set of all equivalence classes of spin irreducible representations (= IRs) of <i>S</i>′ is c......>spin dual</i> of <i>S</i>′. Take a finite number of such triplets ......ouble covering of <i>S</i> = <i>......>j</i></sub>⟩, and for spin IRs π......<i>j</i></sub> of <i>S</i><sub><......> as a spin IR of <i>S</i>′. We study their characters and prove that the set of spin IRs π of this type give......a complete set of representatives of the spin d...
- 参照Projective representations and spin characters of complex reflection groups G(m,p,n) and G(m,p,∞), III
- 参照...RDS PROJECTIVE REPRESENTATIONS AND SPIN CHARACTERS OF FINITE AND INFINITE COMPLEX REFLECTION GROUPS Über die Darst......mptotic theory of characters of the symmetric ...... 3. Projective representations and spin characters of complex reflection groups $G(m,p,n)$ and $G(m,p,\infty)$, II: Case of generalized symmetric groups Chapter 2. Projective representations and spin characters of complex reflection groups $G(m,p,n)$ and $G(m,p,\infty)...... on projective representations of groups High Reynolds ......hur Multiplier of the Generalize......ur Multipliers of the Finite Imprimitive Un......ary Reflection Groups G(<i>m, p, n</i> )
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- 目次・記事...tion Between M-Groups and [数式]-Groups 3 A Characterization of [数式]-Groups 3.1 Result of Parks 3.2 A modular analogue of the result of Parks 3.3 Proof of the main theor...... The Structure of Minimal Non [数式]-Groups 4.1 Minimal non M-groups 4.2 Minimal non [数式]-groups 5 A Generalization of Isoclinism 5.1......5.2 Definition of generalized is......clinism 5.3 Subgroups and factor groups 5.4 π-isoclinism and p-modular isoc......ism 5.5 Brauer characters and p-modular isoc......e Applications and Examples
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- 目次・記事...re ρ 3 Modular representations of finite groups 3.1 Brauer hom......orita theory 4 Representations of GLn(q) 4.1 The theory of Fong-Srinivasa......4.2 The theory of Dipper-James 4......ucible modules of GLe(q)Sw 6.1 Indices of the simple Bo(......correspondents of simple Bw,p-mo...... with e-core ρ and e-weight 2 7.3...... with e-core ρ and e-weight w 8 Independence of q 9 [w:w-1]-pa......r 9.1 Harish-Chandra induction and restriction for characters 9.2 Derived eq......1.1 The theory of Lascoux-Lecler......12.2 Steinberg and Scott modules 13 Appendix 13....
Proceedings of the seventeenth international symposium on Artificial Life and Robotics AROB 17th '12
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- 著者紹介...cs, Networking and Artificial Life(JRNAL)を設立、編集長...
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- 典拠情報(Author Heading/「を見よ」参照)...zing Committee of International ......rtificial Life and Robotics Inter......tional Society of Artificial Life and Robotics ISAROB
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- 目次・記事Contents Indivisibility of special values of zeta functions......r the quotient of the relative class numbers of imaginary abel...... number fields of relative degre......e distribution of L'/L-values/ 3......adratic fields and Shintani invar......e applications of Shimura's mass......heta functions and Eisenstein-Kro...... Kenichi Bannai||Shinichi Kobaya......tic Gauss Sums and Hecke L-values......bota On Galois representations of local fields w......tial dimension of some twists of μpn/ 145 Gombo......i Ramification and tame characters of a finite flat representation of rank two/ 153 ......elliptic curve of conductor 14/ 189 Christian W...
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- 目次・記事...ix Conventions and Notations/ xv ......Fourier series and the torus grou...... 5 §3. Unitary representations of compact groups,/ 14 §4. Fourier series of square integra......Fourier series of smooth functions and distributions,/ 34 II. Representations of SU(2)and SO(3)/ 47 §1. Construction of irreducible representations of SU(2),/ 47 §2. Characters of compact groups,/ 50 §3. Haar ......4. Enumeration of irreducible representations,/ 57 §5. Lie algebras and their representations,/ 59 §6. Fouri......SU(2),/ 76 §7. Representations of SO(3)and spherical harm......on compact Lie groups,/ 93 III. The ......rier transform and unitary representations of Rn...
- 一般注記Includes bibliographical references (p. 417-448) and index
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- 関連情報Japanese journal of mathematics. New series
- 典拠情報(Author Heading/「を見よ」参照)Mathematical Society of Japan
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- 並列タイトル等(連結)Dictionary of scientific quotations Scienti...
- 並列タイトル等Dictionary of scientific quotations Scienti...
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- 典拠情報(Author Heading/「を見よ」参照)Society of Information Theory and its Applications SITA Xi'an J...
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- 改題前Proceedings of the Japan Academy
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- 目次・記事Table of Contents Intro......theorem/ 5 1.2 Characters on groups of exponent 2/ 8 1.3 Orderings and real places/ 1....../ 14 2. Spaces of Orderings 2.1 ......oms for spaces of orderings/ 19 ......uadratic forms and the Witt ring/...... 2.4 Subspaces and preorderings/ 32 3. Fans and the Representa......x/ 47 3.5 Fans and real places/ 5......ted Components and the Isotropy T...... 61 4.2 Spaces of orderings of finite chain length/ ......rem/ 67 4.4 Proofs in the field ......ted components and P-structures/ ...... Real Spectrum of a Ring 5.1 Ord......tructible sets and semi-algebraic......ullstellensatz and Positivstellensatz/ 91 5.5 Va...
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- 要約等...ranching rules of some series of irreducible finite dimensional representations of simple Lie alg......g$<sup>σ</sup> of outer automorphisms σ. The representations have highest w......alar multiples of fundamental we......r combinations of two scalar ones. Our list of pairs of Lie algebras (......><sub>4</sub>) and also a non-sym......ll as a number of classical symm......ic pairs. Some of the branching ......les were known and others are new......aracterization of the “middle” cosets of the Weyl group of $¥mathfrak g$ in terms of the subalgebra......</sup> on one hand, and the length fun...... on the other hand.
- 件名...semisimple Lie groups character of Lie groups
- 参照Die Randwerte holomorph......tric Functions and Orthogonal Polynomials On Representations and Compactifications of Symmetric Riem......ane partitions of trapezoidal shape Infinite-Dimensional Li......ntation theory of the classical groups of type Bn, Cn, D...... Automorphisms of Generalized Ka......Algebras@c Lie Groups Beyond an Intr......ion Reflection Groups and Coxeter Groups Applications of Minor Summatio......angular-Shaped Representations of Classical Groups Geometry of Multiplicity-Free Representations of GL(n), Visible......lag Varieties, and Triunity Multi......-free Theorems of the Restrictions of Unitary Highest Weight Module...
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- 一般注記Held in Tokushima, July 10-12, 2001 Title on spine: Proceedings of the ITC-CSCC 2001
- 典拠情報(Author Heading/「を見よ」参照)Institute of Electronics, Information and Communication Engineers IEICE
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- 著者標目Ėvarestov, R. A. (Robert Aleksandrovich) Smirnov, V. P. (Vi͡ach...