Class information for:
Level 1: HOPF ALGEBRA//WEAK HOPF ALGEBRA//YETTER DRINFELD MODULE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2116 2351 20.0 47%


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
234 3       JOURNAL OF ALGEBRA//MATHEMATICS//COMMUNICATIONS IN ALGEBRA 48681
1918 2             HOPF ALGEBRA//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA 5853
2116 1                   HOPF ALGEBRA//WEAK HOPF ALGEBRA//YETTER DRINFELD MODULE 2351

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 HOPF ALGEBRA authKW 1439860 12% 39% 281
2 WEAK HOPF ALGEBRA authKW 874299 3% 94% 72
3 YETTER DRINFELD MODULE authKW 572490 2% 86% 51
4 NICHOLS ALGEBRA authKW 470809 2% 84% 43
5 FUSION CATEGORIES authKW 445501 2% 84% 41
6 DRINFELD DOUBLE authKW 419006 2% 73% 44
7 MONOIDAL CATEGORY authKW 395160 3% 43% 70
8 HOM LIE ALGEBRA authKW 299206 1% 96% 24
9 COMODULE authKW 292180 1% 75% 30
10 QUASI HOPF ALGEBRA authKW 287696 1% 92% 24

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 109100 92% 0% 2152
2 Mathematics, Applied 5668 20% 0% 478
3 Physics, Mathematical 1164 7% 0% 161
4 Multidisciplinary Sciences -3 0% 0% 2
5 Statistics & Probability -4 0% 0% 6
6 Computer Science, Theory & Methods -5 0% 0% 8
7 Computer Science, Hardware & Architecture -5 0% 0% 1
8 Automation & Control Systems -8 0% 0% 1
9 Physics, Nuclear -9 0% 0% 7
10 Operations Research & Management Science -10 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 ALXEBRA 267119 2% 57% 36
2 ALGEBRA ANAL 178598 1% 51% 27
3 CIEM CONICET 117183 1% 48% 19
4 CIEM 87977 2% 18% 38
5 FAMAF CIEM CONICET 83110 0% 80% 8
6 BEREICH ALGEBRA ZAHLENTHEORIE 74816 0% 52% 11
7 MATH INFORMAT PLICAT 56840 1% 26% 17
8 EDUC HUMANIDADES CEUTA 46746 0% 60% 6
9 MATEMAT ASTRON FIS 37394 2% 5% 56
10 ORG EINHEIT MATH 34628 0% 67% 4

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 COMMUNICATIONS IN ALGEBRA 213207 17% 4% 398
2 JOURNAL OF ALGEBRA 189108 19% 3% 435
3 ALGEBRAS AND REPRESENTATION THEORY 130210 4% 12% 87
4 JOURNAL OF PURE AND APPLIED ALGEBRA 47377 6% 3% 146
5 APPLIED CATEGORICAL STRUCTURES 44011 2% 7% 49
6 JOURNAL OF ALGEBRA AND ITS APPLICATIONS 31473 2% 4% 57
7 REVISTA DE LA UNION MATEMATICA ARGENTINA 20120 1% 10% 16
8 ALGEBRA COLLOQUIUM 17804 2% 3% 40
9 ADVANCES IN MATHEMATICS 10932 3% 1% 63
10 COLLOQUIUM MATHEMATICUM 9367 1% 3% 22

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 HOPF ALGEBRA 1439860 12% 39% 281 Search HOPF+ALGEBRA Search HOPF+ALGEBRA
2 WEAK HOPF ALGEBRA 874299 3% 94% 72 Search WEAK+HOPF+ALGEBRA Search WEAK+HOPF+ALGEBRA
3 YETTER DRINFELD MODULE 572490 2% 86% 51 Search YETTER+DRINFELD+MODULE Search YETTER+DRINFELD+MODULE
4 NICHOLS ALGEBRA 470809 2% 84% 43 Search NICHOLS+ALGEBRA Search NICHOLS+ALGEBRA
5 FUSION CATEGORIES 445501 2% 84% 41 Search FUSION+CATEGORIES Search FUSION+CATEGORIES
6 DRINFELD DOUBLE 419006 2% 73% 44 Search DRINFELD+DOUBLE Search DRINFELD+DOUBLE
7 MONOIDAL CATEGORY 395160 3% 43% 70 Search MONOIDAL+CATEGORY Search MONOIDAL+CATEGORY
8 HOM LIE ALGEBRA 299206 1% 96% 24 Search HOM+LIE+ALGEBRA Search HOM+LIE+ALGEBRA
9 COMODULE 292180 1% 75% 30 Search COMODULE Search COMODULE
10 QUASI HOPF ALGEBRA 287696 1% 92% 24 Search QUASI+HOPF+ALGEBRA Search QUASI+HOPF+ALGEBRA

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 DAI, L , DONG, JC , (2016) ON KAPLANSKY'S SIXTH CONJECTURE.RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA. VOL. 135. ISSUE . P. 1 -20 36 100% 0
2 BEATTIE, M , (2009) A SURVEY OF HOPF ALGEBRAS OF LOW DIMENSION.ACTA APPLICANDAE MATHEMATICAE. VOL. 108. ISSUE 1. P. 19 -31 41 100% 5
3 MUGER, M , (2010) TENSOR CATEGORIES: A SELECTIVE GUIDED TOUR.REVISTA DE LA UNION MATEMATICA ARGENTINA. VOL. 51. ISSUE 1. P. 95 -163 79 48% 7
4 SHIMIZU, K , (2015) ON INDICATORS OF HOPF ALGEBRAS.ISRAEL JOURNAL OF MATHEMATICS. VOL. 207. ISSUE 1. P. 155 -201 32 97% 0
5 ETINGOF, P , NIKSHYCH, D , OSTRIK, V , (2011) WEAKLY GROUP-THEORETICAL AND SOLVABLE FUSION CATEGORIES.ADVANCES IN MATHEMATICS. VOL. 226. ISSUE 1. P. 176 -205 28 97% 52
6 DONG, JC , DAI, L , (2016) EXISTENCE OF TANNAKIAN SUBCATEGORIES AND ITS APPLICATIONS.COMMUNICATIONS IN ALGEBRA. VOL. 44. ISSUE 4. P. 1767 -1782 27 100% 0
7 BICHON, J , (2014) HOPF-GALOIS OBJECTS AND COGROUPOIDS.REVISTA DE LA UNION MATEMATICA ARGENTINA. VOL. 55. ISSUE 2. P. 11 -69 37 71% 3
8 ANDRUSKIEWITSCH, N , CUADRA, J , (2013) ON THE STRUCTURE OF (CO-FROBENIUS) HOPF ALGEBRAS.JOURNAL OF NONCOMMUTATIVE GEOMETRY. VOL. 7. ISSUE 1. P. 83-104 32 82% 6
9 NATALE, S , (2007) SEMISOLVABILITY OF SEMISIMPLE HOPF ALGEBRAS OF LOW DIMENSION.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 186. ISSUE 874. P. 1-+ 31 100% 5
10 SOMMERHAUSER, Y , ZHU, YC , (2013) ON THE CENTRAL CHARGE OF A FACTORIZABLE HOPF ALGEBRA.ADVANCES IN MATHEMATICS. VOL. 236. ISSUE . P. 158-223 32 82% 1

Classes with closest relation at Level 1


Rank Class id link
1 10367 COMPACT QUANTUM GROUP//LOCALLY COMPACT QUANTUM GROUP//QUANTUM GROUPS
2 12465 COMMUNICATIONS IN ALGEBRA//CYCLE SET//SET THEORETIC SOLUTION
3 27717 DYNAMICAL YANG BAXTER EQUATION//POISSON LIE SYMMETRY//QUASI FROBENIUS LIE ALGEBRA
4 19188 HOPF CYCLIC COHOMOLOGY//CYCLIC COHOMOLOGY//CYCLIC HOMOLOGY
5 1371 QUANTUM GROUPS//Q DEFORMATION//BOSON REALIZATION
6 8019 THEORY AND APPLICATIONS OF CATEGORIES//CROSSED MODULE//SEMI ABELIAN CATEGORY
7 6123 NONCOMMUTATIVE PROJECTIVE GEOMETRY//ARTIN SCHELTER REGULAR ALGEBRA//QUANTUM MATRICES
8 29138 CONGRUENCE SIMPLE SEMIRINGS//SEMIMODULES//ALGEBRA OF FRACTIONS
9 7505 SUBFACTORS//PLANAR ALGEBRAS//ALGEBRAIC QUANTUM FIELD THEORY
10 31499 SECONDARY 14F22//14C22//AFFINE ALGEBRAIC SURFACE

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