Class information for:
Level 1: COMPACT QUANTUM GROUP//LOCALLY COMPACT QUANTUM GROUP//QUANTUM GROUPS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10367 1070 22.2 51%


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
249 3       MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH 46542
631 2             C ALGEBRA//MATHEMATICS//JOURNAL OF OPERATOR THEORY 13793
10367 1                   COMPACT QUANTUM GROUP//LOCALLY COMPACT QUANTUM GROUP//QUANTUM GROUPS 1070

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 COMPACT QUANTUM GROUP authKW 1569489 5% 100% 55
2 LOCALLY COMPACT QUANTUM GROUP authKW 1167328 4% 87% 47
3 QUANTUM GROUPS authKW 614895 13% 16% 134
4 QUANTUM SPHERES authKW 552455 2% 88% 22
5 SPECTRAL TRIPLE authKW 406466 4% 35% 41
6 MATH METHODS PHYS address 354068 4% 26% 47
7 QUANTUM HOMOGENEOUS SPACES authKW 332048 1% 73% 16
8 QUANTUM ISOMETRY GROUPS authKW 313898 1% 100% 11
9 DISCRETE QUANTUM GROUP authKW 256825 1% 100% 9
10 MULTIPLIER HOPF ALGEBRAS authKW 256825 1% 100% 9

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 25489 66% 0% 707
2 Physics, Mathematical 13803 32% 0% 341
3 Mathematics, Applied 2012 18% 0% 194
4 Physics, Multidisciplinary 22 4% 0% 42
5 Statistics & Probability 8 1% 0% 13
6 Physics, Particles & Fields -0 1% 0% 10
7 Mathematics, Interdisciplinary Applications -4 0% 0% 1
8 Physics, Nuclear -4 0% 0% 3

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 MATH METHODS PHYS 354068 4% 26% 47
2 KATEDRA METOD MATEMAT FIZYKI 144456 1% 56% 9
3 UNITE MIXTE PARIS 6 PARIS 7 114145 0% 100% 4
4 MATH UMR 6620 65222 0% 57% 4
5 E ET 57072 0% 100% 2
6 FB MATH 10 57072 0% 100% 2
7 UFR MATH MATH PAUL PAINLEVE 57072 0% 100% 2
8 KATEDRA METOD MATEMATYCZNYCH FIZYKI 50726 0% 44% 4
9 AFDELING TOEGEPASTE WISKUNDIGE ANAL 28536 0% 100% 1
10 AFFILIE FRUMAM FR7332 28536 0% 100% 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 NONCOMMUTATIVE GEOMETRY 109386 3% 12% 32
2 COMMUNICATIONS IN MATHEMATICAL PHYSICS 37904 10% 1% 104
3 INTERNATIONAL JOURNAL OF MATHEMATICS 31940 4% 3% 42
4 JOURNAL OF OPERATOR THEORY 27306 3% 3% 35
5 JOURNAL OF FUNCTIONAL ANALYSIS 25337 7% 1% 76
6 LETTERS IN MATHEMATICAL PHYSICS 23277 5% 2% 51
7 JOURNAL OF GEOMETRY AND PHYSICS 20607 4% 2% 43
8 ALGEBRAS AND REPRESENTATION THEORY 15100 2% 3% 20
9 REVIEWS IN MATHEMATICAL PHYSICS 12111 2% 2% 19
10 SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 6862 2% 1% 17

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 COMPACT QUANTUM GROUP 1569489 5% 100% 55 Search COMPACT+QUANTUM+GROUP Search COMPACT+QUANTUM+GROUP
2 LOCALLY COMPACT QUANTUM GROUP 1167328 4% 87% 47 Search LOCALLY+COMPACT+QUANTUM+GROUP Search LOCALLY+COMPACT+QUANTUM+GROUP
3 QUANTUM GROUPS 614895 13% 16% 134 Search QUANTUM+GROUPS Search QUANTUM+GROUPS
4 QUANTUM SPHERES 552455 2% 88% 22 Search QUANTUM+SPHERES Search QUANTUM+SPHERES
5 SPECTRAL TRIPLE 406466 4% 35% 41 Search SPECTRAL+TRIPLE Search SPECTRAL+TRIPLE
6 QUANTUM HOMOGENEOUS SPACES 332048 1% 73% 16 Search QUANTUM+HOMOGENEOUS+SPACES Search QUANTUM+HOMOGENEOUS+SPACES
7 QUANTUM ISOMETRY GROUPS 313898 1% 100% 11 Search QUANTUM+ISOMETRY+GROUPS Search QUANTUM+ISOMETRY+GROUPS
8 DISCRETE QUANTUM GROUP 256825 1% 100% 9 Search DISCRETE+QUANTUM+GROUP Search DISCRETE+QUANTUM+GROUP
9 MULTIPLIER HOPF ALGEBRAS 256825 1% 100% 9 Search MULTIPLIER+HOPF+ALGEBRAS Search MULTIPLIER+HOPF+ALGEBRAS
10 MULTIPLICATIVE UNITARY 202922 1% 89% 8 Search MULTIPLICATIVE+UNITARY Search MULTIPLICATIVE+UNITARY

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 BANICA, T , (2016) A DUALITY PRINCIPLE FOR NONCOMMUTATIVE CUBES AND SPHERES.JOURNAL OF NONCOMMUTATIVE GEOMETRY. VOL. 10. ISSUE 3. P. 1043 -1081 41 87% 0
2 DAWS, M , FIMA, P , SKALSKI, A , WHITE, S , (2016) THE HAAGERUP PROPERTY FOR LOCALLY COMPACT QUANTUM GROUPS.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 711. ISSUE . P. 189 -229 36 68% 3
3 KUSTERMANS, J , (2005) LOCALLY COMPACT QUANTUM GROUPS.QUANTUM INDEPENDENT INCREMENT PROCESSES I: FROM CLASSICAL PROBABILITY TO QUANTUM STOCHASTIC CALCULUS. VOL. 1865. ISSUE . P. 99-180 41 89% 18
4 DE RIJDT, A , VANDER VENNET, N , (2010) ACTIONS OF MONOIDALLY EQUIVALENT COMPACT QUANTUM GROUPS AND APPLICATIONS TO PROBABILISTIC BOUNDARIES.ANNALES DE L INSTITUT FOURIER. VOL. 60. ISSUE 1. P. 169-216 31 100% 8
5 BANICA, T , (2015) LIBERATIONS AND TWISTS OF REAL AND COMPLEX SPHERES.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 96. ISSUE . P. 1 -25 31 86% 2
6 RAUM, S , WEBER, M , (2016) THE FULL CLASSIFICATION OF ORTHOGONAL EASY QUANTUM GROUPS.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 341. ISSUE 3. P. 751 -779 23 96% 2
7 BANICA, T , SKALSKI, A , (2013) QUANTUM SYMMETRY GROUPS OF C*-ALGEBRAS EQUIPPED WITH ORTHOGONAL FILTRATIONS.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 106. ISSUE . P. 980 -1004 27 96% 4
8 DE COMMER, K , FRESLON, A , YAMASHITA, M , (2014) CCAP FOR UNIVERSAL DISCRETE QUANTUM GROUPS.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 331. ISSUE 2. P. 677 -701 28 78% 14
9 KASPRZAK, P , SOLTAN, PM , (2014) EMBEDDABLE QUANTUM HOMOGENEOUS SPACES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 411. ISSUE 2. P. 574-591 25 96% 2
10 KALANTAR, M , KASPRZAK, P , SKALSKI, A , (2016) OPEN QUANTUM SUBGROUPS OF LOCALLY COMPACT QUANTUM GROUPS.ADVANCES IN MATHEMATICS. VOL. 303. ISSUE . P. 322 -359 25 93% 0

Classes with closest relation at Level 1


Rank Class id link
1 1371 QUANTUM GROUPS//Q DEFORMATION//BOSON REALIZATION
2 14130 NONCOMMUTATIVE GEOMETRY//NONCOMMUTATIVE RESIDUE//SPECTRAL TRIPLE
3 2116 HOPF ALGEBRA//WEAK HOPF ALGEBRA//YETTER DRINFELD MODULE
4 7505 SUBFACTORS//PLANAR ALGEBRAS//ALGEBRAIC QUANTUM FIELD THEORY
5 8105 LEAVITT PATH ALGEBRA//GRAPH ALGEBRA//PARTIAL ACTION
6 10040 PROPERTY T//DEFORMATION RIGIDITY THEORY//GRAPH GROUPOIDS
7 19188 HOPF CYCLIC COHOMOLOGY//CYCLIC COHOMOLOGY//CYCLIC HOMOLOGY
8 8786 FOURIER ALGEBRA//LOCALLY COMPACT GROUP//ARENS PRODUCT
9 13147 NONCOMMUTATIVE L P SPACES//MEASURABLE OPERATOR//NONCOMMUTATIVE MARTINGALES
10 10155 ASYMPTOTIC DIMENSION//COARSE GEOMETRY//BAUM CONNES CONJECTURE

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