Class information for:
Level 1: BRUHAT ORDER//SCHUBERT VARIETIES//SCHUBERT POLYNOMIALS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
10024 1098 19.4 41%



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
10024 1                   BRUHAT ORDER//SCHUBERT VARIETIES//SCHUBERT POLYNOMIALS 1098

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 BRUHAT ORDER authKW 982017 5% 62% 57
2 SCHUBERT VARIETIES authKW 854922 5% 55% 56
3 SCHUBERT POLYNOMIALS authKW 796922 3% 87% 33
4 SCHUBERT CALCULUS authKW 533150 4% 46% 42
5 KAZHDAN LUSZTIG POLYNOMIALS authKW 430999 3% 50% 31
6 QUANTUM COHOMOLOGY authKW 336440 3% 37% 33
7 FLAG VARIETY authKW 297367 3% 29% 37
8 SPECIAL MATCHINGS authKW 250276 1% 100% 9
9 REDUCED WORD authKW 247340 1% 68% 13
10 THOM POLYNOMIALS authKW 222467 1% 100% 8

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 51986 92% 0% 1015
2 Mathematics, Applied 1557 16% 0% 175
3 Physics, Mathematical 57 3% 0% 30
4 Statistics & Probability 0 1% 0% 7
5 Computer Science, Theory & Methods -0 1% 0% 7
6 Computer Science, Software Engineering -1 0% 0% 3
7 Computer Science, Interdisciplinary Applications -6 0% 0% 1
8 Physics, Nuclear -7 0% 0% 1
9 Physics, Particles & Fields -8 0% 0% 2
10 Physics, Multidisciplinary -14 0% 0% 4

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 COMBINATOR PROGRAM 27808 0% 100% 1
2 CRM MONTREAL 27808 0% 100% 1
3 DIPARTIMENTO INGN INFORMAZ SCI MATEMATH 27808 0% 100% 1
4 DPTO MATEMAT G CASTELNUOVO 27808 0% 100% 1
5 EQUIPE ANALYSE ALGEBRIQUE 27808 0% 100% 1
6 FSHMN DEKANATI 27808 0% 100% 1
7 NUMBER THEORY SECT 27808 0% 100% 1
8 S GTA LPM 27808 0% 100% 1
9 THEORIE GRP REPRENSENTAT PLICAT 27808 0% 100% 1
10 UER MATHS 27808 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 ALGEBRAIC COMBINATORICS 121748 6% 6% 70
2 JOURNAL OF COMBINATORIAL THEORY SERIES A 26534 5% 2% 56
3 ADVANCES IN MATHEMATICS 25074 6% 1% 65
4 JOURNAL OF ALGEBRA 21727 9% 1% 101
5 ELECTRONIC JOURNAL OF COMBINATORICS 16078 3% 2% 38
6 TRANSFORMATION GROUPS 14370 2% 3% 17
7 EUROPEAN JOURNAL OF COMBINATORICS 8658 3% 1% 31
8 ANNALS OF COMBINATORICS 7678 1% 3% 11
9 ADVANCES IN APPLIED MATHEMATICS 6958 2% 1% 19
10 DUKE MATHEMATICAL JOURNAL 6400 2% 1% 26

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 BRUHAT ORDER 982017 5% 62% 57 Search BRUHAT+ORDER Search BRUHAT+ORDER
2 SCHUBERT VARIETIES 854922 5% 55% 56 Search SCHUBERT+VARIETIES Search SCHUBERT+VARIETIES
3 SCHUBERT POLYNOMIALS 796922 3% 87% 33 Search SCHUBERT+POLYNOMIALS Search SCHUBERT+POLYNOMIALS
4 SCHUBERT CALCULUS 533150 4% 46% 42 Search SCHUBERT+CALCULUS Search SCHUBERT+CALCULUS
5 KAZHDAN LUSZTIG POLYNOMIALS 430999 3% 50% 31 Search KAZHDAN+LUSZTIG+POLYNOMIALS Search KAZHDAN+LUSZTIG+POLYNOMIALS
6 QUANTUM COHOMOLOGY 336440 3% 37% 33 Search QUANTUM+COHOMOLOGY Search QUANTUM+COHOMOLOGY
7 FLAG VARIETY 297367 3% 29% 37 Search FLAG+VARIETY Search FLAG+VARIETY
8 SPECIAL MATCHINGS 250276 1% 100% 9 Search SPECIAL+MATCHINGS Search SPECIAL+MATCHINGS
9 REDUCED WORD 247340 1% 68% 13 Search REDUCED+WORD Search REDUCED+WORD
10 THOM POLYNOMIALS 222467 1% 100% 8 Search THOM+POLYNOMIALS Search THOM+POLYNOMIALS

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 TAMVAKIS, H , (2016) GIAMBELLI AND DEGENERACY LOCUS FORMULAS FOR CLASSICAL G/P SPACES.MOSCOW MATHEMATICAL JOURNAL. VOL. 16. ISSUE 1. P. 125 -177 62 83% 1
2 TAMVAKIS, H , (2014) A GIAMBELLI FORMULA FOR CLASSICAL G/P SPACES.JOURNAL OF ALGEBRAIC GEOMETRY. VOL. 23. ISSUE 2. P. 245 -278 40 98% 1
3 HUANG, YD , LI, CZ , (2015) ON EQUIVARIANT QUANTUM SCHUBERT CALCULUS FOR G/P.JOURNAL OF ALGEBRA. VOL. 441. ISSUE . P. 21 -56 34 100% 0
4 LI, CZ , RAVIKUMAR, V , (2016) EQUIVARIANT PIERI RULES FOR ISOTROPIC GRASSMANNIANS.MATHEMATISCHE ANNALEN. VOL. 365. ISSUE 1-2. P. 881 -909 29 100% 0
5 IKEDA, T , MIHALCEA, LC , NARUSE, H , (2016) FACTORIAL P- AND Q-SCHUR FUNCTIONS REPRESENT EQUIVARIANT QUANTUM SCHUBERT CLASSES.OSAKA JOURNAL OF MATHEMATICS. VOL. 53. ISSUE 3. P. 591 -619 28 100% 0
6 ULFARSSON, H , WOO, A , (2013) WHICH SCHUBERT VARIETIES ARE LOCAL COMPLETE INTERSECTIONS?.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 107. ISSUE . P. 1004-1052 34 83% 3
7 WOO, A , WYSER, BJ , (2015) COMBINATORIAL RESULTS ON (1,2,1,2)-AVOIDING GL(P, C) X GL(Q, C)-ORBIT CLOSURES ON GL(P PLUS Q, C) / B.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 24. P. 13148 -13193 29 85% 0
8 GRAHAM, W , KREIMAN, V , (2015) EXCITED YOUNG DIAGRAMS, EQUIVARIANT K-THEORY, AND SCHUBERT VARIETIES.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 367. ISSUE 9. P. 6597 -6645 25 93% 1
9 BERENSTEIN, A , RICHMOND, E , (2015) LITTLEWOOD-RICHARDSON COEFFICIENTS FOR REFLECTION GROUPS.ADVANCES IN MATHEMATICS. VOL. 284. ISSUE . P. 54 -111 31 76% 0
10 BALAN, M , (2013) MULTIPLICITY ON A RICHARDSON VARIETY IN A COMINUSCULE G/P.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 365. ISSUE 8. P. 3971-3986 23 96% 1

Classes with closest relation at Level 1



Rank Class id link
1 11397 CRYSTAL BASES//QUANTUM AFFINE ALGEBRA//DEMAZURE MODULES
2 19219 DIAGONAL HARMONICS//AD NILPOTENT IDEAL//CYCLIC SIEVING PHENOMENON
3 21759 LITTLEWOOD RICHARDSON COEFFICIENTS//KRONECKER COEFFICIENTS//GEOMETRIC COMPLEXITY THEORY
4 16033 SPHERICAL VARIETIES//COX RING//WONDERFUL VARIETIES
5 26653 SUPERSYMMETRIC ALGEBRA//GELFAND MODEL//ABSOLUTE INVOLUTIONS
6 28789 RENNER MONOID//REDUCTIVE MONOID//ALGEBRAIC MONOIDS
7 15284 FINITISTIC DIMENSION//QUASI HEREDITARY ALGEBRA//CATEGORY O
8 16175 ALTERNATING SIGN MATRICES//PLANE PARTITIONS//AZTEC DIAMOND
9 5156 HECKE ALGEBRA//BRAUER ALGEBRA//CELLULAR ALGEBRAS
10 12048 SYMPLECTIC REDUCTION//SYMPLECTIC QUOTIENT//MOMENTUM MAP

Go to start page