Class information for:
Level 1: CRYSTAL BASES//QUANTUM AFFINE ALGEBRA//DEMAZURE MODULES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
11397 985 19.9 48%


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
552 2             JOURNAL OF ALGEBRA//MATHEMATICS//ALGEBRAS AND REPRESENTATION THEORY 14591
11397 1                   CRYSTAL BASES//QUANTUM AFFINE ALGEBRA//DEMAZURE MODULES 985

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 CRYSTAL BASES authKW 1259791 5% 80% 51
2 QUANTUM AFFINE ALGEBRA authKW 738459 5% 53% 45
3 DEMAZURE MODULES authKW 684783 3% 82% 27
4 KIRILLOV RESHETIKHIN MODULES authKW 349250 1% 87% 13
5 NAKAJIMA MONOMIALS authKW 309988 1% 100% 10
6 CRYSTAL GRAPHS authKW 278990 1% 100% 9
7 QUIVER VARIETY authKW 254310 2% 43% 19
8 KIRILLOV RESHETIKHIN CRYSTALS authKW 247991 1% 100% 8
9 CANONICAL BASIS authKW 231676 2% 36% 21
10 CRYSTAL BASIS authKW 209495 1% 48% 14

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 39562 85% 0% 840
2 Physics, Mathematical 1452 11% 0% 111
3 Mathematics, Applied 654 11% 0% 112
4 Horticulture 2 1% 0% 5
5 Physics, Particles & Fields -1 1% 0% 7
6 Statistics & Probability -1 0% 0% 3
7 Computer Science, Software Engineering -3 0% 0% 1
8 Physics, Nuclear -3 0% 0% 3
9 Computer Science, Theory & Methods -4 0% 0% 2
10 Physics, Multidisciplinary -4 1% 0% 10

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 IMU 147692 1% 53% 9
2 IMJ PRG CNRS UMR 7586 92997 0% 100% 3
3 ALGEBRA SEKT 30999 0% 100% 1
4 COMP SCI INFORMAT SYST MATH 30999 0% 100% 1
5 DIPARTIMENTO MATEMAT GUIDO CASTENUOVO 30999 0% 100% 1
6 GENE BANK INFORMAT 30999 0% 100% 1
7 IST G CASTELNUOVE 30999 0% 100% 1
8 LMND 30999 0% 100% 1
9 MILWAUKEE MATH SCI 30999 0% 100% 1
10 PARIS RIVE GAUCHE CNRS UMR 7586 30999 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 ALGEBRA 49402 15% 1% 144
2 JOURNAL OF ALGEBRAIC COMBINATORICS 42098 4% 3% 39
3 TRANSFORMATION GROUPS 40447 3% 5% 27
4 SELECTA MATHEMATICA-NEW SERIES 36218 2% 6% 20
5 ADVANCES IN MATHEMATICS 30612 7% 1% 68
6 ALGEBRAS AND REPRESENTATION THEORY 25647 3% 3% 25
7 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 21891 5% 2% 46
8 JOURNAL OF COMBINATORIAL THEORY SERIES A 15840 4% 1% 41
9 CONTEMPORARY MATHEMATICS 11988 1% 6% 6
10 DUKE MATHEMATICAL JOURNAL 7702 3% 1% 27

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 CRYSTAL BASES 1259791 5% 80% 51 Search CRYSTAL+BASES Search CRYSTAL+BASES
2 QUANTUM AFFINE ALGEBRA 738459 5% 53% 45 Search QUANTUM+AFFINE+ALGEBRA Search QUANTUM+AFFINE+ALGEBRA
3 DEMAZURE MODULES 684783 3% 82% 27 Search DEMAZURE+MODULES Search DEMAZURE+MODULES
4 KIRILLOV RESHETIKHIN MODULES 349250 1% 87% 13 Search KIRILLOV+RESHETIKHIN+MODULES Search KIRILLOV+RESHETIKHIN+MODULES
5 NAKAJIMA MONOMIALS 309988 1% 100% 10 Search NAKAJIMA+MONOMIALS Search NAKAJIMA+MONOMIALS
6 CRYSTAL GRAPHS 278990 1% 100% 9 Search CRYSTAL+GRAPHS Search CRYSTAL+GRAPHS
7 QUIVER VARIETY 254310 2% 43% 19 Search QUIVER+VARIETY Search QUIVER+VARIETY
8 KIRILLOV RESHETIKHIN CRYSTALS 247991 1% 100% 8 Search KIRILLOV+RESHETIKHIN+CRYSTALS Search KIRILLOV+RESHETIKHIN+CRYSTALS
9 CANONICAL BASIS 231676 2% 36% 21 Search CANONICAL+BASIS Search CANONICAL+BASIS
10 CRYSTAL BASIS 209495 1% 48% 14 Search CRYSTAL+BASIS Search CRYSTAL+BASIS

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 LENART, C , SCHILLING, A , (2013) CRYSTAL ENERGY FUNCTIONS VIA THE CHARGE IN TYPES A AND C.MATHEMATISCHE ZEITSCHRIFT. VOL. 273. ISSUE 1-2. P. 401 -426 31 94% 2
2 SALISBURY, B , SCRIMSHAW, T , (2016) CONNECTING MARGINALLY LARGE TABLEAUX AND RIGGED CONFIGURATIONS VIA CRYSTALS.ALGEBRAS AND REPRESENTATION THEORY. VOL. 19. ISSUE 3. P. 523 -546 26 96% 0
3 SCHILLING, A , TINGELY, P , (2012) DEMAZURE CRYSTALS, KIRILLOV-RESHETIKHIN CRYSTALS, AND THE ENERGY FUNCTION.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 19. ISSUE 2. P. - 29 94% 1
4 MANSUY, M , (2014) QUANTUM EXTREMAL LOOP WEIGHT MODULES AND MONOMIAL CRYSTALS.PACIFIC JOURNAL OF MATHEMATICS. VOL. 267. ISSUE 1. P. 185 -241 29 85% 0
5 HERNANDEZ, D , (2009) QUANTUM TOROIDAL ALGEBRAS AND THEIR REPRESENTATIONS.SELECTA MATHEMATICA-NEW SERIES. VOL. 14. ISSUE 3-4. P. 701-725 37 73% 6
6 CHARI, V , MOURA, A , YOUNG, C , (2013) PRIME REPRESENTATIONS FROM A HOMOLOGICAL PERSPECTIVE.MATHEMATISCHE ZEITSCHRIFT. VOL. 274. ISSUE 1-2. P. 613-645 25 89% 3
7 SCRIMSHAW, T , (2016) A CRYSTAL TO RIGGED CONFIGURATION BIJECTION AND THE FILLING MAP FOR TYPE D-4(3).JOURNAL OF ALGEBRA. VOL. 448. ISSUE . P. 294 -349 22 96% 0
8 KIM, JA , SHIN, DU , (2011) NAKAJIMA MONOMIALS, YOUNG WALLS AND KASHIWARA EMBEDDING FOR U-Q(A(N)((1))).JOURNAL OF ALGEBRA. VOL. 330. ISSUE 1. P. 234-250 24 96% 0
9 HERNANDEZ, D , NAKAJIMA, H , (2006) LEVEL 0 MONOMIAL CRYSTALS.NAGOYA MATHEMATICAL JOURNAL. VOL. 184. ISSUE . P. 85-153 26 96% 10
10 JAKELIC, D , DE MOURA, AA , (2011) TENSOR PRODUCTS, CHARACTERS, AND BLOCKS OF FINITE-DIMENSIONAL REPRESENTATIONS OF QUANTUM AFFINE ALGEBRAS AT ROOTS OF UNITY.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 18. P. 4147 -4199 25 89% 0

Classes with closest relation at Level 1


Rank Class id link
1 10024 BRUHAT ORDER//SCHUBERT VARIETIES//SCHUBERT POLYNOMIALS
2 5156 HECKE ALGEBRA//BRAUER ALGEBRA//CELLULAR ALGEBRAS
3 19219 DIAGONAL HARMONICS//AD NILPOTENT IDEAL//CYCLIC SIEVING PHENOMENON
4 21759 LITTLEWOOD RICHARDSON COEFFICIENTS//KRONECKER COEFFICIENTS//GEOMETRIC COMPLEXITY THEORY
5 12786 SPRINGER FIBERS//NILPOTENT ORBITS//FINITE W ALGEBRAS
6 19986 LIE SUPERALGEBRA//CHARACTER FORMULA//KAC MODULE
7 16033 SPHERICAL VARIETIES//COX RING//WONDERFUL VARIETIES
8 16175 ALTERNATING SIGN MATRICES//PLANE PARTITIONS//AZTEC DIAMOND
9 1220 CLUSTER ALGEBRA//CLUSTER CATEGORY//AUSLANDER REITEN QUIVER
10 9554 EXTENDED AFFINE LIE ALGEBRA//WEIGHT MODULE//WHITTAKER MODULE

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