# Plucker Manual

### Edition : auto generated by oxgentexi on December 1, 2023

OpenXM.org

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# 1 Plucker Relations

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### 1.0.1 plucker

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### 1.0.2 `plucker_relation`

plucker_relation(L,M)

:: Returns the plucker relation defined by the index sets L and M.

return

quote

L

List

M

List

• L is the index set of the plucker relations and M is the index set of the plucker relations.
```[297] A = plucker_relation([1,2],[3,4,5,6]);
quote(y_1_2_3*y_4_5_6-y_1_2_4*y_3_5_6+y_1_2_5*y_3_4_6-y_1_2_6*y_3_4_5)
[298] eval_str(print_terminal_form(A));
y_4_5_6*y_1_2_3-y_3_5_6*y_1_2_4+y_3_4_6*y_1_2_5-y_3_4_5*y_1_2_6

```

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### 1.0.3 `plucker_y`

plucker_y(L)

:: Returns the variable standing for the index L.

return

Variable

L

List

• Index set L is sorted and the sign is evaluated by the sorting.
```[297] plucker_y([1,2,3]);
y_1_2_3

[298] plucker_y([2,1,3]);
-y_1_2_3

```

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### 1.0.4 `plucker_index`

plucker_index(V)

: It gets the index of the variable V.

Example:

``` plucker_index(plucker_y([1,2,3]));
```

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# Index

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