In combinatorial mathematics, the hook length formula is a formula for the number of standard Young tableaux whose shape is a given Young diagram. It has...

the representation. This number can be calculated by the hook length formula. A hook length hook(x) of a box x in Young diagram Y(λ) of shape λ is the number...

symmetric group Sn. Among the other applications, the formula can be used to derive the hook length formula. Let χ λ {\displaystyle \chi _{\lambda }} be the...

to the Young diagram λ {\displaystyle \lambda } is given by the hook length formula. To each irreducible representation ρ we can associate an irreducible...

each column is increasing. As such, the formula can be derived as a special case of the hook-length formula. 123 124 125 134 135 456 356 346 256 246...

of Minnesota, and he is best known for his bijective proof of the hook-length formula for the number of Young tableaux, and his work on random walks. He...

by three" – by Doyle and Conway. "A direct bijective proof of the hook-length formula" – by Novelli, Pak and Stoyanovsky. "Bijective census and random...

tableaux of shape λ {\displaystyle \lambda } . It is given by the hook length formula. Over fields of characteristic 0 the Specht modules are irreducible...

sieving phenomenon. Note that the polynomial is a q-analogue of the hook length formula. Furthermore, let λ be a rectangular partition of size n, and let...

{\displaystyle \mathbb {N} \times \mathbb {N} ,} and they are counted by the hook length formula. Marczewski, Edward (1930), "Sur l'extension de l'ordre partiel"...

until it has length n. The sum of the elements λi is d. See also the Hook length formula which computes the same quantity for fixed λ. The following extended...

dimension of the corresponding Specht module, which is given by the hook length formula. Let V = R d {\displaystyle V=\mathbb {R} ^{d}} be a Euclidean vector...

{\displaystyle m_{\lambda }} may be computed by the Frobenius formula (or the hook length formula). For example, take n = 3 {\displaystyle n=3} . Then there...

Young tableaux of shape λ {\displaystyle \lambda } , given by the hook length formula. The affine Temperley-Lieb algebra a T L n ( δ ) {\displaystyle aTL_{n}(\delta...

tableaux of a given shape λ {\displaystyle \lambda } is given by the hook-length formula. An important simple property of Kostka numbers is that K λ μ {\displaystyle...

λ {\displaystyle f_{\lambda }=\dim S_{\lambda }} is given by the hook length formula. A basis of P λ {\displaystyle {\mathcal {P}}_{\lambda }} can be...

New Jersey, by the side of his daughter, Jody. Shepp–Logan phantom Hook length formula Ridge function Chadbourne, Eugene. Tex Logan. Allmusic. Tex Logan...

slides and hooks are the accessories used in intimate apparel/lingerie used for adjustment and decorative functions. Rings, slides and hooks are commonly...

collector's problem Discrete tomography Dubins path Gaussian process Hook length formula Parallel parking problem Sieve estimator Ridge function Cornell University...

molecular formulas, such as H2O: In 1917, an unknown American undergraduate chemical engineer named Linus Pauling was learning the Dalton hook-and-eye bonding...

(2012–2018) FIA Formula Two Championship (2011–2012) Formula 3 Euro Series (2003–2012) Formula BMW ADAC (2000–2007) Formula BMW Europe (2009) Formula One German...

announced the establishment of a 2017 event in the city for Formula E, with the Red Hook location selected over other potential sites including Central...

parked in their own area. Circuits in other parts of the world (used in Formula One) typically have the individual garages open directly onto the pit lane...

(loops) are normally touching in the unloaded position, and they have a hook, eye or some other means of attachment at each end. Compression springs are...

Weisinger, Jeff; Cameron, Christopher (12 July 2017). "Formula E racing rolls into Red Hook for city's first race since 1896". AM New York. Archived...

ꞁ LATIN SMALL LETTER TURNED L. 𝼦 : Small letter l with mid-height left hook was used by the British and Foreign Bible Society in the early 20th century...

(2nd ed.). Hoboken: John Wiley & Sons. ISBN 0-471-24195-4. Brody, Dorje; Hook, Daniel (2008). "Information geometry in vapour-liquid equilibrium". Journal...

international hit. Jason Lipshutz of Billboard wrote, "'Golden Hour' has a winning formula: semi-rapped verses full of romantic observations and modern music references...

Lacan to the Letter: Reading Ecrits Closely. University of Minnesota Press. Hook, D., Vanheule, S. & Neill, C. (eds.) (2019) Reading Lacan’s Écrits: From...

other variables (this is the monomial symmetric function mγ where γ is a hook shape (i,1,1,...,1)). In particular r(k) = pk; for r(1) the description would...