Publications related to Irreducible representation

Reductive overgroups of distinguished unipotent elements in simple algebraic groups

Let

G

be a simple linear algebraic group over an algebraically closed field

K

of characteristic

p \geq 0

. In this thesis, we investigate closed connected reductive subgroups

X < G

that contain a given distinguished unipotent element

u

of

G

. Our ...

EPFL2018

R-current three-point functions in 4d N=1 superconformal theories

Andrea Manenti, Alessandro Vichi

In 4d N = 1 superconformal field theories (SCFTs) the R-symmetry current, the stress-energy tensor, and the supersymmetry currents are grouped into a single object, the Ferrara-Zumino multiplet. In this work we study the most general form of three-point fu ...

SPRINGER2018

Exact diagonalization of SU( N ) Heisenberg and Affleck-Kennedy-Lieb-Tasaki chains using the full SU( N ) symmetry

Frédéric Mila, Pierre Marcel Nataf, Kianna Wan

We present a method for the exact diagonalization of the SU(N) Heisenberg interaction Hamiltonian using Young tableaus to work directly in each irreducible representation of the global SU(N) group. This generalized scheme is applicable to chains consisting ...

2017

An algorithm for computing weight multiplicities in irreducible modules for complex semisimple Lie algebras

Mikaël Cavallin

Let be a finite-dimensional semisimple Lie algebra over having rank l and let V be an irreducible finite-dimensional -module having highest weight λ. Computations of weight multiplicities in V, usually based on Freudenthal's formula, are in general difficu ...

2017

Restriction of irreducible modules for Spin2+1(K) to Spin2(K)

Mikaël Cavallin

Let K be an algebraically closed field of characteristic

p\geq0

and let

Y=SPin_{2n+1}(K) (n\geq3)

be a simply connected simple algebraic group of type

B_n

over

K

. Also let

X

be the subgroup of type

D_n

, embedded in

Y

in the usual way, as the ...

2017

On Decoupling Chemical Reaction Systems

Sriniketh Srinivasan

Chemical reaction systems act as the basis to get the desired products from raw materials. An in-depth understanding of all the underlying rate processes is necessary for monitoring, control and optimization of chemical reaction systems. Traditional repres ...

EPFL2017

Motivic and p-adic Localization Phenomena

Dimitri Stelio Wyss

In this thesis we compute motivic classes of hypertoric varieties, Nakajima quiver varieties and open de Rham spaces in a certain localization of the Grothendieck ring of varieties. Furthermore we study the

p

-adic pushforward of the Haar measure under a ...

EPFL2017

Linear flavor-wave theory for fully antisymmetric SU( N ) irreducible representations

Frédéric Mila, Francisco Hyunkyu Kim, Karlo Penc, Pierre Marcel Nataf

The extension of the linear flavor-wave theory to fully antisymmetric irreducible representations (irreps) of SU(N) is presented in order to investigate the color order of SU(N) antiferromagnetic Heisenberg models in several two-dimensional geometries. The ...

2017

Boundary-aware Instance Segmentation

Mathieu Salzmann

We address the problem of instance-level semantic segmentation, which aims at jointly detecting, segmenting and classifying every individual object in an image. In this context, existing methods typically propose candidate objects, usually as bounding boxe ...

Ieee2017

Anatomical and functional properties of the foot and leg representation in areas 3b, 1 and 2 of primary somatosensory cortex in humans: A 7T fMRI study

Olaf Blanke, Andrea Serino, Michel Akselrod, Wietske Van der Zwaag, Roger Gassert, Roberto Martuzzi

Primary somatosensory cortex (S1) processes somatosensory information and is composed of multiple subregions. In particular, tactile information from the skin is encoded in three subregions, namely Brodmann areas (BAs) 3b, 1 and 2, with each area represent ...

2017

Irreducible representation

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Reductive overgroups of distinguished unipotent elements in simple algebraic groups

R-current three-point functions in 4d N=1 superconformal theories

Exact diagonalization of SU( N ) Heisenberg and Affleck-Kennedy-Lieb-Tasaki chains using the full SU( N ) symmetry

An algorithm for computing weight multiplicities in irreducible modules for complex semisimple Lie algebras

Restriction of irreducible modules for Spin2+1(K) to Spin2(K)

On Decoupling Chemical Reaction Systems

Motivic and p-adic Localization Phenomena

Linear flavor-wave theory for fully antisymmetric SU( N ) irreducible representations

Boundary-aware Instance Segmentation

Anatomical and functional properties of the foot and leg representation in areas 3b, 1 and 2 of primary somatosensory cortex in humans: A 7T fMRI study

Reductive overgroups of distinguished unipotent elements in simple algebraic groups

R-current three-point functions in 4d N=1 superconformal theories

Exact diagonalization of SU( N ) Heisenberg and Affleck-Kennedy-Lieb-Tasaki chains using the full SU( N ) symmetry

Restriction of irreducible modules for Spin2+1(K) to Spin2(K)

On Decoupling Chemical Reaction Systems

Motivic and p-adic Localization Phenomena

An algorithm for computing weight multiplicities in irreducible modules for complex semisimple Lie algebras

Linear flavor-wave theory for fully antisymmetric SU( N ) irreducible representations

Boundary-aware Instance Segmentation

Anatomical and functional properties of the foot and leg representation in areas 3b, 1 and 2 of primary somatosensory cortex in humans: A 7T fMRI study