Class information for:
Level 1: GROBNER SHIRSHOV BASIS//DENDRIFORM ALGEBRA//DESCENT ALGEBRA

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
12617 830 22.8 41%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 2)


ID, lev.
above		 Publications Label for level above
652 12785 JOURNAL OF ALGEBRA//CLUSTER CATEGORY//JOURNAL OF ALGEBRAIC COMBINATORICS

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 GROBNER SHIRSHOV BASIS Author keyword 38 69% 4% 33
2 DENDRIFORM ALGEBRA Author keyword 34 93% 2% 13
3 DESCENT ALGEBRA Author keyword 32 78% 3% 21
4 COMBINATORIAL HOPF ALGEBRAS Author keyword 29 88% 2% 14
5 PRE LIE ALGEBRAS Author keyword 26 100% 1% 11
6 ROTA BAXTER ALGEBRA Author keyword 25 77% 2% 17
7 NONCOMMUTATIVE SYMMETRIC FUNCTIONS Author keyword 25 71% 2% 20
8 PRE LIE ALGEBRA Author keyword 23 76% 2% 16
9 PEAK ALGEBRA Author keyword 21 90% 1% 9
10 DENDRIFORM ALGEBRAS Author keyword 17 100% 1% 8

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 GROBNER SHIRSHOV BASIS 38 69% 4% 33 Search GROBNER+SHIRSHOV+BASIS Search GROBNER+SHIRSHOV+BASIS
2 DENDRIFORM ALGEBRA 34 93% 2% 13 Search DENDRIFORM+ALGEBRA Search DENDRIFORM+ALGEBRA
3 DESCENT ALGEBRA 32 78% 3% 21 Search DESCENT+ALGEBRA Search DESCENT+ALGEBRA
4 COMBINATORIAL HOPF ALGEBRAS 29 88% 2% 14 Search COMBINATORIAL+HOPF+ALGEBRAS Search COMBINATORIAL+HOPF+ALGEBRAS
5 PRE LIE ALGEBRAS 26 100% 1% 11 Search PRE+LIE+ALGEBRAS Search PRE+LIE+ALGEBRAS
6 ROTA BAXTER ALGEBRA 25 77% 2% 17 Search ROTA+BAXTER+ALGEBRA Search ROTA+BAXTER+ALGEBRA
7 NONCOMMUTATIVE SYMMETRIC FUNCTIONS 25 71% 2% 20 Search NONCOMMUTATIVE+SYMMETRIC+FUNCTIONS Search NONCOMMUTATIVE+SYMMETRIC+FUNCTIONS
8 PRE LIE ALGEBRA 23 76% 2% 16 Search PRE+LIE+ALGEBRA Search PRE+LIE+ALGEBRA
9 PEAK ALGEBRA 21 90% 1% 9 Search PEAK+ALGEBRA Search PEAK+ALGEBRA
10 DENDRIFORM ALGEBRAS 17 100% 1% 8 Search DENDRIFORM+ALGEBRAS Search DENDRIFORM+ALGEBRAS

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 PLANAR BINARY TREES 49 79% 4% 31
2 NONCOMMUTATIVE SYMMETRICAL FUNCTIONS 47 84% 3% 26
3 QUASI SYMMETRIC FUNCTIONS 47 88% 3% 22
4 DIALGEBRAS 31 92% 1% 12
5 HOPF ALGEBRA 27 53% 4% 36
6 DESCENT ALGEBRA 26 87% 2% 13
7 SOLOMON DESCENT ALGEBRA 24 82% 2% 14
8 DECORATED ROOTED TREES 22 66% 3% 21
9 SHUFFLE PRODUCTS 22 81% 2% 13
10 ROTA BAXTER ALGEBRAS 21 90% 1% 9

Journals

Reviews


Title Publ. year Cit. Active
references		 % act. ref.
to same field
Combinatorial hopf algebras in quantum field theory - I 2005 42 30 60%
The Hopf algebra approach to Feynman diagram calculations 2005 14 50 90%
Quantum fields and motives 2006 16 14 36%
Hopf algebras in dynamical systems theory 2007 0 31 45%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 GASPARD MONGE 5 13% 4.6% 38
2 FRE3111 4 75% 0.4% 3
3 UMR6056 3 57% 0.5% 4
4 UMR7590IPGP 2 67% 0.2% 2
5 EQUIPE ANAL ALGEBRIQUE 1 50% 0.2% 2
6 FRANCO RUSSE MATH 1 100% 0.2% 2
7 MATEMAT CICLO BASICO COMUN 1 50% 0.2% 2
8 MINERAL PHYS MILIEUX CONDENSESIPGP 1 30% 0.4% 3
9 MINERAL CRISTALLOGIPGP 1 40% 0.2% 2
10 GASPARD MANGE 1 50% 0.1% 1

Related classes at same level (level 1)


Rank Relatedness score Related classes
1 0.0000256187 DIAGONAL HARMONICS//GARSIA HAIMAN MODULES//RIBBON TABLEAUX
2 0.0000139808 STRING TOPOLOGY//BATALIN VILKOVISKY ALGEBRA//CALCULUS OF FUNCTORS
3 0.0000109647 NOVIKOV ALGEBRA//LEFT SYMMETRIC ALGEBRA//REAL PROJECTIVE STRUCTURE
4 0.0000104946 UMBRAL CALCULUS//COMBINATORIAL SPECIES//ANTILOGARITHMIC MAPPING
5 0.0000091606 MULTIPLE ZETA VALUES//EULER SUMS//MULTIPLE ZETA VALUE
6 0.0000090043 HOPF CYCLIC COHOMOLOGY//CYCLIC HOMOLOGY//CYCLIC COHOMOLOGY
7 0.0000082826 CD INDEX//SMALL COVER//FLAG F VECTOR
8 0.0000079406 MAJOR INDEX//LEGENDRE STIRLING NUMBERS//PERMUTATION TABLEAUX
9 0.0000075162 GEOMETRIC COMPLEXITY THEORY//FOULKES CONJECTURE//LITTLEWOOD RICHARDSON COEFFICIENTS
10 0.0000069152 RENNER MONOID//REDUCTIVE MONOID//SELF HOMOTOPY EQUIVALENCE