Class information for:
Level 1: BRANCHING LAW//VISIBLE ACTION//MULTIPLICITY FREE REPRESENTATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
18521 548 20.6 33%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
205 3       MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 52461
1797 2             MATHEMATICS//DUNKL TRANSFORM//DUNKL OPERATORS 6311
18521 1                   BRANCHING LAW//VISIBLE ACTION//MULTIPLICITY FREE REPRESENTATION 548

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 BRANCHING LAW authKW 1431376 6% 76% 34
2 VISIBLE ACTION authKW 724364 2% 100% 13
3 MULTIPLICITY FREE REPRESENTATION authKW 713214 3% 80% 16
4 HIGHEST WEIGHT REPRESENTATIONS authKW 445754 2% 67% 12
5 COMPLEMENTARY SERIES authKW 421378 2% 69% 11
6 LEFT INVARIANT DIFFERENTIAL OPERATORS authKW 390042 1% 100% 7
7 POISSON AND FOURIER TRANSFORMS authKW 390042 1% 100% 7
8 HERRINGBONE STITCH authKW 334322 1% 100% 6
9 HIGHER RANK NA GROUPS authKW 334322 1% 100% 6
10 INFINITE DIMENSIONAL LEBESGUE MEASURE authKW 334322 1% 100% 6

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 22365 86% 0% 471
2 Mathematics, Applied 658 15% 0% 81
3 Physics, Mathematical 368 8% 0% 43
4 Statistics & Probability 0 1% 0% 4
5 Multidisciplinary Sciences -0 0% 0% 1
6 Physics, Multidisciplinary -0 2% 0% 9
7 Automation & Control Systems -1 0% 0% 1
8 Operations Research & Management Science -1 0% 0% 1
9 Computer Science, Information Systems -2 0% 0% 1
10 Computer Science, Artificial Intelligence -2 0% 0% 1

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 FRE 3111 74288 1% 33% 4
2 DIP MATEMAT PL ARCH 55720 0% 100% 1
3 IMPU 55720 0% 100% 1
4 MATH 401 55720 0% 100% 1
5 NATURVIDENSKABELIGE FAK 55720 0% 100% 1
6 ST PETERSBURG BRANCH MATH 55720 0% 100% 1
7 FR 3399 55718 0% 50% 2
8 CHALMERS UNIV TECHNOL MATH SCI 55714 1% 25% 4
9 FAK ELEKTROTECH INFORMAT MATH 39792 1% 14% 5
10 ARBEITSGRP FUNKTIONALANAL 27859 0% 50% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 JOURNAL OF LIE THEORY 57883 5% 4% 28
2 JOURNAL OF FUNCTIONAL ANALYSIS 21441 9% 1% 50
3 INTERNATIONAL JOURNAL OF MATHEMATICS 5965 2% 1% 13
4 ACTA APPLICANDAE MATHEMATICAE 5116 3% 1% 14
5 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 3880 2% 1% 11
6 ADVANCES IN MATHEMATICS 3837 3% 0% 18
7 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 3542 2% 1% 12
8 TRANSFORMATION GROUPS 2487 1% 1% 5
9 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 2106 3% 0% 18
10 JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO 2060 0% 2% 2

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 BRANCHING LAW 1431376 6% 76% 34 Search BRANCHING+LAW Search BRANCHING+LAW
2 VISIBLE ACTION 724364 2% 100% 13 Search VISIBLE+ACTION Search VISIBLE+ACTION
3 MULTIPLICITY FREE REPRESENTATION 713214 3% 80% 16 Search MULTIPLICITY+FREE+REPRESENTATION Search MULTIPLICITY+FREE+REPRESENTATION
4 HIGHEST WEIGHT REPRESENTATIONS 445754 2% 67% 12 Search HIGHEST+WEIGHT+REPRESENTATIONS Search HIGHEST+WEIGHT+REPRESENTATIONS
5 COMPLEMENTARY SERIES 421378 2% 69% 11 Search COMPLEMENTARY+SERIES Search COMPLEMENTARY+SERIES
6 LEFT INVARIANT DIFFERENTIAL OPERATORS 390042 1% 100% 7 Search LEFT+INVARIANT+DIFFERENTIAL+OPERATORS Search LEFT+INVARIANT+DIFFERENTIAL+OPERATORS
7 POISSON AND FOURIER TRANSFORMS 390042 1% 100% 7 Search POISSON+AND+FOURIER+TRANSFORMS Search POISSON+AND+FOURIER+TRANSFORMS
8 HERRINGBONE STITCH 334322 1% 100% 6 Search HERRINGBONE+STITCH Search HERRINGBONE+STITCH
9 HIGHER RANK NA GROUPS 334322 1% 100% 6 Search HIGHER+RANK+NA+GROUPS Search HIGHER+RANK+NA+GROUPS
10 INFINITE DIMENSIONAL LEBESGUE MEASURE 334322 1% 100% 6 Search INFINITE+DIMENSIONAL+LEBESGUE+MEASURE Search INFINITE+DIMENSIONAL+LEBESGUE+MEASURE

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 PEVZNER, M , (2008) COVARIANT QUANTIZATION: SPECTRAL ANALYSIS VERSUS DEFORMATION THEORY.JAPANESE JOURNAL OF MATHEMATICS. VOL. 3. ISSUE 2. P. 247 -290 61 67% 1
2 MOLLERS, J , OSHIMA, Y , (2015) DISCRETE BRANCHING LAWS FOR MINIMAL HOLOMORPHIC REPRESENTATIONS.JOURNAL OF LIE THEORY. VOL. 25. ISSUE 4. P. 949 -983 19 100% 0
3 HILGERT, J , KOBAYASHI, T , MOLLERS, J , (2014) MINIMAL REPRESENTATIONS VIA BESSEL OPERATORS.JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. VOL. 66. ISSUE 2. P. 349-414 22 85% 3
4 MOLLERS, J , SCHWARZ, B , (2014) STRUCTURE OF THE DEGENERATE PRINCIPAL SERIES ON SYMMETRIC R-SPACES AND SMALL REPRESENTATIONS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 266. ISSUE 6. P. 3508 -3542 20 87% 2
5 BAI, ZQ , (2013) A CHARACTERIZATION OF THE UNITARY HIGHEST WEIGHT MODULES BY EUCLIDEAN JORDAN ALGEBRAS.JOURNAL OF LIE THEORY. VOL. 23. ISSUE 3. P. 747-778 16 94% 1
6 MOLLERS, J , SCHWARZ, B , (2014) BRANCHING LAWS FOR SMALL UNITARY REPRESENTATIONS OF GL(N, C).INTERNATIONAL JOURNAL OF MATHEMATICS. VOL. 25. ISSUE 6. P. - 17 74% 0
7 KOBAYASHI, T , (2011) ALGEBRAIC ANALYSIS OF MINIMAL REPRESENTATIONS.PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES. VOL. 47. ISSUE 2. P. 585-611 16 80% 5
8 MERIGON, S , SEPPANEN, H , (2010) BRANCHING LAWS FOR DISCRETE WALLACH POINTS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 258. ISSUE 10. P. 3241-3265 15 88% 2
9 KOBAYASHI, T , PEVZNER, M , (2016) DIFFERENTIAL SYMMETRY BREAKING OPERATORS: II. RANKIN-COHEN OPERATORS FOR SYMMETRIC PAIRS.SELECTA MATHEMATICA-NEW SERIES. VOL. 22. ISSUE 2. P. 847 -911 15 71% 1
10 MENG, GW , ZHANG, RB , (2011) GENERALIZED MICZ-KEPLER PROBLEMS AND UNITARY HIGHEST WEIGHT MODULES.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 52. ISSUE 4. P. - 13 93% 4

Classes with closest relation at Level 1


Rank Class id link
1 35117 NORMAL J ALGEBRA//HOMOGENEOUS SIEGEL DOMAIN//MINIMAL DOMAIN
2 19524 INVARIANCE ENTROPY//SEMI SIMPLE LIE GROUPS//INVARIANT CONTROL SETS
3 30279 WHITTAKER FUNCTIONS//WHITTAKER MODELS//GENERALIZED WHITTAKER MODEL
4 1219 DISTINGUISHED REPRESENTATIONS//AUTOMORPHIC REPRESENTATIONS//ORBITAL INTEGRALS
5 21755 SEGAL BARGMANN TRANSFORM//ADAPTED COMPLEX STRUCTURES//TAYLOR MAP
6 12786 SPRINGER FIBERS//NILPOTENT ORBITS//FINITE W ALGEBRAS
7 8411 DUNKL TRANSFORM//DUNKL OPERATORS//UNCERTAINTY PRINCIPLE
8 30501 INDICIAL TRIPLE//TOEPLITZ C ALGEBRA//DIAGONAL INVARIANT IDEAL
9 16033 SPHERICAL VARIETIES//COX RING//WONDERFUL VARIETIES
10 15284 FINITISTIC DIMENSION//QUASI HEREDITARY ALGEBRA//CATEGORY O

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