Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Gaussian binomial coefficient
|
| gptkbp:application |
representation theory
quantum groups enumerative combinatorics partition theory |
| gptkbp:definedIn |
non-negative integers n and k
|
| gptkbp:defines |
the number of k-dimensional subspaces of an n-dimensional vector space over a finite field with q elements
|
| gptkbp:field |
gptkb:algebra
combinatorics |
| gptkbp:generalizes |
binomial coefficient
|
| https://www.w3.org/2000/01/rdf-schema#label |
q-binomial coefficient
|
| gptkbp:introduced |
gptkb:Eduard_Heine
|
| gptkbp:introducedIn |
1846
|
| gptkbp:notation |
C_q(n, k)
[n \\atop k]_q |
| gptkbp:parameter |
q
|
| gptkbp:property |
is a polynomial in q with integer coefficients
reduces to binomial coefficient as q approaches 1 satisfies q-analog of Pascal's rule |
| gptkbp:relatedTo |
gptkb:q-Pochhammer_symbol
q-series q-factorial |
| gptkbp:bfsParent |
gptkb:Q_series
|
| gptkbp:bfsLayer |
6
|